Categories and General Algebraic Structures with Applications

Categories and General Algebraic Structures with Applications

Keyword Index
A
  • Abundant semigroups Abundant semigroups with medial idempotents [Volume 15, Issue 1, 2021, Pages 1-34]
  • Act over semigroup Flatness properties of acts over semigroups [Volume 15, Issue 1, 2021, Pages 59-92]
  • Alexandroff topology Tangled Closure Algebras [Volume 7, Special Issue on the Occasion of Banaschewski's 90th Birthday (II), 2017, Pages 9-31]
  • Algebraic Structure On the homomorphisms of $cap$-structure spaces [Volume 24, Issue 1, 2026, Pages 43-62]
  • Ample semigroups Abundant semigroups with medial idempotents [Volume 15, Issue 1, 2021, Pages 1-34]
  • Anafunctors The elementary construction of formal anafunctors [Volume 15, Issue 1, 2021, Pages 183-229]
  • Anneliese Schauerte Abstracts in Persian [Volume 2, Issue 1, 2014, Pages 119-128]
  • Archimedean A classification of hull operators in archimedean lattice-ordered groups with unit [Volume 13, Issue 1, 2020, Pages 83-104]
  • Archimedean $lpha$-Projectable and laterally $lpha$-complete Archimedean lattice-ordered groups with weak unit via topology [Volume 20, Issue 1, 2024, Pages 131-154]
  • Archimedean $ell$-group Representation of $H$-closed monoreflections in archimedean $ell$-groups with weak unit [Volume 9, Issue 1, 2018, Pages 1-13]
  • Archimedean $l$-group The projectable hull of an archimedean $ell$-group with weak unit [Volume 7, Special Issue on the Occasion of Banaschewski's 90th Birthday (II), 2017, Pages 165-179]
  • Archimedean ring The ring of real-continuous functions on a topoframe [Volume 4, Issue 1, 2016, Pages 75-94]
B
  • Baer criterion Baer criterion in locally presentable categories [Volume 23, Issue 1, 2025]
  • Baire functions Representation of $H$-closed monoreflections in archimedean $ell$-groups with weak unit [Volume 9, Issue 1, 2018, Pages 1-13]
  • Banaschewski compactification Constructing the Banaschewski compactification through the functionally countable subalgebra of $C(X)$ [Volume 14, Issue 1, 2021, Pages 167-180]
  • Bayer filter Bayer noise quasisymmetric functions and some combinatorial algebraic structures [Volume 21, Issue 1, 2024, Pages 241-282]
  • Beck's Theorem Towards free localic algebras [Volume 22, Issue 1, 2025, Pages 113-137]
  • Bernhard Banaschewski An interview with Themba Andrew Dube (A TAD Interview) [Volume 20, Issue 1, 2024, Pages 5-32]
  • Bilattice Expanding Belnap 2: the dual category in depth [Volume 17, Issue 1, 2022, Pages 47-84]
  • Birkhoff: Existence and Sufficiency of generalized points Birkhoff's Theorem from a geometric perspective: A simple example [Volume 4, Issue 1, 2016, Pages 1-8]
  • Bob Marley An interview with Themba Andrew Dube (A TAD Interview) [Volume 20, Issue 1, 2024, Pages 5-32]
  • Boole Birkhoff's Theorem from a geometric perspective: A simple example [Volume 4, Issue 1, 2016, Pages 1-8]
  • Boolean algebra A note on idempotent semirings [Volume 22, Issue 1, 2025, Pages 175-180]
  • Boolean algebras Classification of Boolean algebras through von Neumann regular $mathcal{C}^{infty}-$rings [Volume 21, Issue 1, 2024, Pages 211-239]
  • Boolean filter Some Types of Filters in Equality Algebras [Volume 7, Special Issue on the Occasion of Banaschewski's 90th Birthday (II), 2017, Pages 33-55]
  • Boolean frame Localic maps constructed from open and closed parts [Volume 6, Speical Issue on the Occasion of Banaschewski's 90th Birthday (I), 2017, Pages 21-35]
  • Boolean frame Some lower separation axioms in LG-topologies [(Articles in Press)]
  • Booleanization Celebrating Professor Themba A. Dube (A TAD Celebration I) [Volume 20, Issue 1, 2024, Pages 33-103]
  • Boolean sublocale Notes on the spatial part of a frame [Volume 20, Issue 1, 2024, Pages 105-129]
C
  • Cantor Birkhoff's Theorem from a geometric perspective: A simple example [Volume 4, Issue 1, 2016, Pages 1-8]
  • Category of structural topological spaces Measurability in the category of structural topological spaces [(Articles in Press)]
  • Cauchy complete Another proof of Banaschewski's surjection theorem [Volume 11, Special Issue Dedicated to Prof. George A. Grätzer, 2019, Pages 113-130]
  • Cauchy completion Celebrating Professor Themba A. Dube (A TAD Celebration I) [Volume 20, Issue 1, 2024, Pages 33-103]
  • Cauchy completness Convergence and quantale-enriched categories [Volume 9, Issue 1, 2018, Pages 77-138]
  • Cauchy filter Another proof of Banaschewski's surjection theorem [Volume 11, Special Issue Dedicated to Prof. George A. Grätzer, 2019, Pages 113-130]
  • Cauchy map Another proof of Banaschewski's surjection theorem [Volume 11, Special Issue Dedicated to Prof. George A. Grätzer, 2019, Pages 113-130]
  • Choice Choice principles and lift lemmas [Volume 6, Speical Issue on the Occasion of Banaschewski's 90th Birthday (I), 2017, Pages 121-146]
  • Chromatic number Intersection graphs associated with semigroup acts [Volume 11, Special Issue Dedicated to Prof. George A. Grätzer, 2019, Pages 131-148]
  • C-injectivity On C-injective generalized hyper S-acts [Volume 19, Issue 1, 2023, Pages 127-141]
  • Clique number Intersection graphs associated with semigroup acts [Volume 11, Special Issue Dedicated to Prof. George A. Grätzer, 2019, Pages 131-148]
  • Closure On the homomorphisms of $cap$-structure spaces [Volume 24, Issue 1, 2026, Pages 43-62]
  • Closure algebra Tangled Closure Algebras [Volume 7, Special Issue on the Occasion of Banaschewski's 90th Birthday (II), 2017, Pages 9-31]
  • Clustering Clustering in Celebrating Professor Themba A. Dube (A TAD Celebration II) [Volume 22, Issue 1, 2025, Pages 5-42]
  • C-normal On relatively connected sublocales and J-frames [Volume 22, Issue 1, 2025, Pages 181-196]
  • Cogenerating set Injectivity in a category: an overview on smallness conditions [Volume 2, Issue 1, 2014, Pages 83-112]
  • Commutative semiring A note on idempotent semirings [Volume 22, Issue 1, 2025, Pages 175-180]
  • Completely regular frames The function ring functors of pointfree topology revisited [Volume 11, Special Issue Dedicated to Prof. George A. Grätzer, 2019, Pages 19-32]
  • Complete topological ring without closed prime ideals Completeness results for metrized rings and lattices [Volume 11, Special Issue Dedicated to Prof. George A. Grätzer, 2019, Pages 149-168]
  • Condition $(G-PCP)$ On Condition $(G-PCP)$ of acts over monoids [(Articles in Press)]
  • Condition $(PWP)$ Properties of products for flatness in the category of $S$-posets [Volume 5, Issue 1, 2016, Pages 131-152]
  • Condition $(PWP_{ssc})$ Classification of monoids by Condition $(PWP_{ssc})$ [Volume 12, Issue 1, 2020, Pages 175-197]
  • Condition$(WP)$ Properties of products for flatness in the category of $S$-posets [Volume 5, Issue 1, 2016, Pages 131-152]
  • Condition (PWP_S) Characterization of Monoids by Condition $(PWP_{S})$ of right acts [Volume 25, Issue 1, 2026]
  • Conditions $(P_{sc})$ and $(P_E)$ On homological classification of monoids by Condition $mathbf{(P_{sc})}$ and new classification on Condition $mathbf{(P_{E})}$ [Volume 23, Issue 1, 2025]
  • Congruence lattice A convex combinatorial property of compact sets in the plane and its roots in lattice theory [Volume 11, Special Issue Dedicated to Prof. George A. Grätzer, 2019, Pages 57-92]
  • Congruence lattice A new property of congruence lattices of slim, planar, semimodular lattices [Volume 16, Issue 1, 2022, Pages 1-28]
  • Continuous maps On the homomorphisms of $cap$-structure spaces [Volume 24, Issue 1, 2026, Pages 43-62]
  • Cosheaves Some aspects of cosheaves on diffeological spaces [Volume 12, Issue 1, 2020, Pages 123-147]
  • Covering Coverings and liftings of generalized crossed modules [Volume 17, Issue 1, 2022, Pages 117-140]
  • Cozero sets Filters of Coz(X) [Volume 7, Special Issue on the Occasion of Banaschewski's 90th Birthday (II), 2017, Pages 107-123]
  • Cubical $\infty$-categories The coherator $Theta^{infty}_W$ of cubical weak $infty$-categories with connections [Volume 21, Issue 1, 2024, Pages 69-126]
  • Cyclic $S$-poset A characterization of a pomonoid $S$ all of its cyclic $S$-posets are regular injective [Volume 1, Issue 1, 2013, Pages 103-117]
D
  • D-connectedness The notions of closedness and D-connectedness in quantale-valued approach spaces [Volume 12, Issue 1, 2020, Pages 149-173]
  • Dcpo Adjoint relations for the category of local dcpos [Volume 7, Special Issue on the Occasion of Banaschewski's 90th Birthday (II), 2017, Pages 89-105]
  • Dedekind domains Classification of 1-absorbing comultiplication modules over a pullback ring [Volume 18, Issue 1, 2023, Pages 105-129]
  • De Morgan semi-Heyting algebra Dually quasi-De Morgan Stone semi-Heyting algebras I. Regularity [Volume 2, Issue 1, 2014, Pages 47-64]
  • De Morgan semi-Heyting algebra Dually quasi-De Morgan Stone semi-Heyting algebras II. Regularity [Volume 2, Issue 1, 2014, Pages 65-82]
  • Dharmanand Baboolal An interview with Themba Andrew Dube (A TAD Interview) [Volume 20, Issue 1, 2024, Pages 5-32]
  • Directed complete partially ordered set Actions of a separately strict cpo-monoid on pointed directed complete posets [Volume 3, Issue 1, 2015, Pages 21-42]
  • Directed complete partially ordered set The symmetric monoidal closed category of cpo $M$-sets [Volume 13, Issue 1, 2020, Pages 105-124]
  • Distributive lattice Distributive lattices and some related topologies in comparison with zero-divisor graphs [Volume 14, Issue 1, 2021, Pages 223-244]
  • Distributive lattice A note on idempotent semirings [Volume 22, Issue 1, 2025, Pages 175-180]
  • Dominions On epimorphisms and structurally regular semigroups [Volume 15, Issue 1, 2021, Pages 231-253]
  • Double category Span and cospan representations of weak double categories [Volume 6, Speical Issue on the Occasion of Banaschewski's 90th Birthday (I), 2017, Pages 85-105]
  • Dually Quasi-De Morgan Stone Semi-Heyting Algebras Regularity Abstracts in Persian [Volume 2, Issue 1, 2014, Pages 119-128]
E
  • Edge coloring On rainbow connection number of cartesian product of graphs [(Articles in Press)]
  • Eilenberg-Moore algebra On saturated prefilter monads [Volume 18, Issue 1, 2023, Pages 19-41]
  • Equality algebra Some Types of Filters in Equality Algebras [Volume 7, Special Issue on the Occasion of Banaschewski's 90th Birthday (II), 2017, Pages 33-55]
  • Equality algebra Tense like equality algebras [Volume 13, Issue 1, 2020, Pages 143-166]
  • Equality algebra Nucleus topology in equality algebras [Volume 25, Issue 1, 2026]
  • Equivalences Equivalences in Bicategories [Volume 8, Issue 1, 2018, Pages 19-33]
  • Eventually left almost regular monoid On $GPW$-Flat Acts [Volume 12, Issue 1, 2020, Pages 25-42]
  • Eventually regular monoid On $GPW$-Flat Acts [Volume 12, Issue 1, 2020, Pages 25-42]
  • Exact sequence From torsion theories to closure operators and factorization systems [Volume 12, Issue 1, 2020, Pages 89-121]
  • Extended affine Lie algebras Realization of locally extended affine Lie algebras of type $A_1$ [Volume 5, Issue 1, 2016, Pages 153-162]
F
  • Fiber homotopy $mathcal{H}$-Fibrationsโ€Ž: โ€ŽFibrations in Homotopy Category [Volume 24, Issue 1, 2026, Pages 29-41]
  • Finitely meet-irreducible Reflectional topology in MV-algebras [Volume 16, Issue 1, 2022, Pages 249-267]
  • Finitely supported $Cb$-sets Separated finitely supported $Cb$-sets [Volume 13, Issue 1, 2020, Pages 55-82]
  • Finitely supported $Cb$-sets Finitely presentable objects in ${ m(}Cb ext{-}{f Sets}{ m)}_{_{ m fs}}$ [Volume 21, Issue 1, 2024, Pages 175-209]
  • Finitely supported $M$-sets Finitely presentable objects in ${ m(}Cb ext{-}{f Sets}{ m)}_{_{ m fs}}$ [Volume 21, Issue 1, 2024, Pages 175-209]
  • Fitting ideals A characterization of finitely generated multiplication modules [Volume 4, Issue 1, 2016, Pages 63-74]
  • Fitting ideals On finitely generated modules whose first nonzero Fitting ideals are regular [Volume 8, Issue 1, 2018, Pages 9-18]
  • Fitting ideals A note on the first nonzero Fitting ideal of a module [Volume 25, Issue 1, 2026]
  • Flat Properties of products for flatness in the category of $S$-posets [Volume 5, Issue 1, 2016, Pages 131-152]
  • Flatness properties Classification of monoids by Condition $(PWP_{ssc})$ [Volume 12, Issue 1, 2020, Pages 175-197]
  • Flatness properties On homological classification of monoids by Condition $mathbf{(P_{sc})}$ and new classification on Condition $mathbf{(P_{E})}$ [Volume 23, Issue 1, 2025]
  • Fomin extension Clustering in Celebrating Professor Themba A. Dube (A TAD Celebration II) [Volume 22, Issue 1, 2025, Pages 5-42]
  • Frame (locale) Another proof of Banaschewski's surjection theorem [Volume 11, Special Issue Dedicated to Prof. George A. Grätzer, 2019, Pages 113-130]
  • Frames Countable composition closedness and integer-valued continuous functions in pointfree topology [Volume 1, Issue 1, 2013, Pages 1-10]
  • Frankl's Conjecture Frankl's Conjecture for a subclass of semimodular lattices [Volume 11, Special Issue Dedicated to Prof. George A. Grätzer, 2019, Pages 197-206]
  • Free object The categories of lattice-valued maps, equalities, free objects, and $mathcal C$-reticulation [Volume 11, Special Issue Dedicated to Prof. George A. Grätzer, 2019, Pages 93-112]
  • Free object A new approach to tensor product of hypermodules [Volume 16, Issue 1, 2022, Pages 29-58]
  • Freudenthal On relatively connected sublocales and J-frames [Volume 22, Issue 1, 2025, Pages 181-196]
  • Freudenthal compactification When Freudenthal coincides with the smallest compactification with a categorical slant [Volume 25, Issue 1, 2026]
  • Freyd's Adjoint Functor Theorem Towards free localic algebras [Volume 22, Issue 1, 2025, Pages 113-137]
  • FS-domains A note on the problem when FS-domains coincide with RB-domains [Volume 8, Issue 1, 2018, Pages 51-59]
  • Functionals Everyday physics of extended bodies or why functionals need analyzing [Volume 6, Speical Issue on the Occasion of Banaschewski's 90th Birthday (I), 2017, Pages 9-19]
G
  • Galois structure A History of Selected Topics in Categorical Algebra I: From Galois Theory to Abstract Commutators and Internal Groupoids [Volume 5, Issue 1, 2016, Pages 1-54]
  • Galois theory A History of Selected Topics in Categorical Algebra I: From Galois Theory to Abstract Commutators and Internal Groupoids [Volume 5, Issue 1, 2016, Pages 1-54]
  • Generalized inverses (b, c)-inverse, inverse along an element, and the Schรผtzenberger category of a semigroup [Volume 15, Issue 1, 2021, Pages 255-272]
  • Geometric logic Generalised geometric logic [Volume 22, Issue 1, 2025, Pages 43-58]
  • George A. Grรคtzer An interview with George A. Grรคtzer [Volume 11, Special Issue Dedicated to Prof. George A. Grätzer, 2019, Pages 11-18]
  • George Grรคtzer Celebrating Professor George A. Grรคtzer [Volume 11, Special Issue Dedicated to Prof. George A. Grätzer, 2019, Pages 1-10]
  • Girth On zero divisor graph of unique product monoid rings over Noetherian reversible ring [Volume 4, Issue 1, 2016, Pages 95-114]
  • Goldie dimension Distributive lattices and some related topologies in comparison with zero-divisor graphs [Volume 14, Issue 1, 2021, Pages 223-244]
  • GPW-flat Characterization of monoids by ($U$-)$GPW$-flatness of right acts [Volume 21, Issue 1, 2024, Pages 127-152]
  • GPW-left stabilizing Characterization of monoids by ($U$-)$GPW$-flatness of right acts [Volume 21, Issue 1, 2024, Pages 127-152]
  • Graph Fundamental groupoids for graphs [Volume 16, Issue 1, 2022, Pages 221-248]
  • Graphs Exploring new upper and lower bounds for the $A_{lpha}$-energy of graphs [Volume 25, Issue 1, 2026]
  • Grรคtzer--Schmidt Theorem Celebrating Professor George A. Grรคtzer [Volume 11, Special Issue Dedicated to Prof. George A. Grätzer, 2019, Pages 1-10]
  • Greenโ€™s relations (b, c)-inverse, inverse along an element, and the Schรผtzenberger category of a semigroup [Volume 15, Issue 1, 2021, Pages 255-272]
  • Greenโ€™s relations Green's relations on ordered n-ary semihypergroups [Volume 19, Issue 1, 2023, Pages 143-167]
  • Grothendieck approach of cubical weak $\infty$-categories The coherator $Theta^{infty}_W$ of cubical weak $infty$-categories with connections [Volume 21, Issue 1, 2024, Pages 69-126]
  • Grothendieck category Bounded complexes of objects of finite flat dimensions [Volume 25, Issue 1, 2026]
  • Grothendieck spectrum Birkhoff's Theorem from a geometric perspective: A simple example [Volume 4, Issue 1, 2016, Pages 1-8]
  • Group action The category of generalized crossed modules [Volume 10, Issue 1, 2019, Pages 157-171]
H
  • Hanamantagouda P. Sankappanavar Abstracts in Persian [Volume 2, Issue 1, 2014, Pages 119-128]
  • Hausdorff On (semi)topology L-algebras [Volume 18, Issue 1, 2023, Pages 81-103]
  • Higher categories $omega$-Operads of coendomorphisms and fractal $omega$-operads for higher structures [Volume 3, Issue 1, 2015, Pages 65-88]
  • Higher categories Operads of higher transformations for globular sets and for higher magmas [Volume 3, Issue 1, 2015, Pages 89-111]
  • Higher order Hochschild homology Simplicial structures over the 3-sphere and generalized higher order Hochschild homology [Volume 15, Issue 1, 2021, Pages 93-143]
  • Hilbert Birkhoff's Theorem from a geometric perspective: A simple example [Volume 4, Issue 1, 2016, Pages 1-8]
  • Hilbert algebra Relation between Sheffer Stroke and Hilbert algebras [Volume 14, Issue 1, 2021, Pages 245-268]
  • Hochschild homology Replacing bar-like resolutions in a simplicial setting [Volume 24, Issue 1, 2026, Pages 137-150]
  • Hoehnke radical (r,t)-injectivity in the category $S$-Act [Volume 11, Special Issue Dedicated to Prof. George A. Grätzer, 2019, Pages 169-196]
  • Homomorphism On the homomorphisms of $cap$-structure spaces [Volume 24, Issue 1, 2026, Pages 43-62]
  • Hopf Duality theory of $p$-adic Hopf algebras [Volume 14, Issue 1, 2021, Pages 81-118]
  • Hopfian algebra On MV-algebras of non-linear functions [Volume 6, Speical Issue on the Occasion of Banaschewski's 90th Birthday (I), 2017, Pages 107-120]
  • Hypermodule A new approach to tensor product of hypermodules [Volume 16, Issue 1, 2022, Pages 29-58]
  • Hypermodule Primitive hyperideals and hyperstructure spaces of hyperrings [Volume 22, Issue 1, 2025, Pages 157-173]
  • Hyperring Primitive hyperideals and hyperstructure spaces of hyperrings [Volume 22, Issue 1, 2025, Pages 157-173]
I
  • Idempotents Semigroups with inverse skeletons and Zappa-Sz$cute{ m e}$p products [Volume 1, Issue 1, 2013, Pages 59-89]
  • Inductive Graded Rings Inductive graded rings, hyperfields and quadratic forms [Volume 23, Issue 1, 2025]
  • Injective hull On injective objects and existence of injective hulls in ๐‘„-TOP/(๐‘Œ, ๐œŽ) [Volume 17, Issue 1, 2022, Pages 173-202]
  • Injective objects On injective objects and existence of injective hulls in ๐‘„-TOP/(๐‘Œ, ๐œŽ) [Volume 17, Issue 1, 2022, Pages 173-202]
  • Injectivity (r,t)-injectivity in the category $S$-Act [Volume 11, Special Issue Dedicated to Prof. George A. Grätzer, 2019, Pages 169-196]
  • Injectivity On C-injective generalized hyper S-acts [Volume 19, Issue 1, 2023, Pages 127-141]
  • Injectivity Baer criterion in locally presentable categories [Volume 23, Issue 1, 2025]
  • Injectivity in a Category: an Overview on Smallness Conditions Abstracts in Persian [Volume 2, Issue 1, 2014, Pages 119-128]
  • Intersection structure On the homomorphisms of $cap$-structure spaces [Volume 24, Issue 1, 2026, Pages 43-62]
  • Interview An interview with George A. Grรคtzer [Volume 11, Special Issue Dedicated to Prof. George A. Grätzer, 2019, Pages 11-18]
  • Iwasawa theory Schneider-Teitelbaum duality for locally profinite groups [Volume 14, Issue 1, 2021, Pages 119-166]
J
  • Jacobson topology Primitive hyperideals and hyperstructure spaces of hyperrings [Volume 22, Issue 1, 2025, Pages 157-173]
  • J-frames On relatively connected sublocales and J-frames [Volume 22, Issue 1, 2025, Pages 181-196]
  • Joanne Walters-Wayland An interview with Themba Andrew Dube (A TAD Interview) [Volume 20, Issue 1, 2024, Pages 5-32]
  • John Frith Abstracts in Persian [Volume 2, Issue 1, 2014, Pages 119-128]
  • Jordan algebras Realization of locally extended affine Lie algebras of type $A_1$ [Volume 5, Issue 1, 2016, Pages 153-162]
  • Jorge Mart\'{ฤฑ}nez An interview with Themba Andrew Dube (A TAD Interview) [Volume 20, Issue 1, 2024, Pages 5-32]
  • Jorge Picado An interview with Themba Andrew Dube (A TAD Interview) [Volume 20, Issue 1, 2024, Pages 5-32]
K
  • Katห‡etov extension Clustering in Celebrating Professor Themba A. Dube (A TAD Celebration II) [Volume 22, Issue 1, 2025, Pages 5-42]
  • Kleene algebra Natural and restricted Priestley duality for ternary algebras and their cousins [Volume 16, Issue 1, 2022, Pages 59-104]
  • Kleene lattice Natural and restricted Priestley duality for ternary algebras and their cousins [Volume 16, Issue 1, 2022, Pages 59-104]
  • Kleisli composition A correspondence between proximity homomorphisms and certain frame maps via a comonad [Volume 22, Issue 1, 2025, Pages 93-112]
  • Krasner hyperring ฮด-primary subhypermodules on Krasner hyperrings [Volume 21, Issue 1, 2024, Pages 153-174]
  • K-theory K-theories and Free Inductive Graded Rings in Abstract Quadratic Forms Theories [Volume 17, Issue 1, 2022, Pages 1-46]
  • K-theory Inductive graded rings, hyperfields and quadratic forms [Volume 23, Issue 1, 2025]
L
  • L-algebra On (semi)topology L-algebras [Volume 18, Issue 1, 2023, Pages 81-103]
  • L-algebras Ideals and congruences in $L$-algebras and pre-$L$-algebras [Volume 23, Issue 1, 2025]
  • Lattice Total graph of a $0$-distributive lattice [Volume 9, Issue 1, 2018, Pages 15-27]
  • Lawvere theory Towards free localic algebras [Volume 22, Issue 1, 2025, Pages 113-137]
  • Lax algebras On lifting of biadjoints and lax algebras [Volume 9, Issue 1, 2018, Pages 29-58]
  • L-domains A note on the problem when FS-domains coincide with RB-domains [Volume 8, Issue 1, 2018, Pages 51-59]
  • Left $PCP$ On Condition $(G-PCP)$ of acts over monoids [(Articles in Press)]
  • Left PP monoid Characterization of Monoids by Condition $(PWP_{S})$ of right acts [Volume 25, Issue 1, 2026]
  • LG-topology Some lower separation axioms in LG-topologies [(Articles in Press)]
  • Lindel\"{o}f A little more on ideals associated with sublocales [Volume 20, Issue 1, 2024, Pages 175-200]
  • Lipschitz-connected Uniform Lipschitz-connectedness and metric convexity [Volume 22, Issue 1, 2025, Pages 139-155]
  • Locally presentable categories Baer criterion in locally presentable categories [Volume 23, Issue 1, 2025]
  • Loyiso Nongxa An interview with Themba Andrew Dube (A TAD Interview) [Volume 20, Issue 1, 2024, Pages 5-32]
M
  • MacNeille completion Tangled Closure Algebras [Volume 7, Special Issue on the Occasion of Banaschewski's 90th Birthday (II), 2017, Pages 9-31]
  • Majid Ershad Abstracts in Persian [Volume 2, Issue 1, 2014, Pages 119-128]
  • Mal'tsev category A History of Selected Topics in Categorical Algebra I: From Galois Theory to Abstract Commutators and Internal Groupoids [Volume 5, Issue 1, 2016, Pages 1-54]
  • Matrix Idempotent 2x2 matrices over linearly ordered abelian groups [Volume 21, Issue 1, 2024, Pages 1-17]
  • Maximal subrings The conductor ideals of maximal subrings in non-commutative rings [(Articles in Press)]
  • McCoy rank Determinant and rank functions in semisimple pivotal Ab-categories [Volume 19, Issue 1, 2023, Pages 47-80]
  • McNaughton function On MV-algebras of non-linear functions [Volume 6, Speical Issue on the Occasion of Banaschewski's 90th Birthday (I), 2017, Pages 107-120]
  • Medial idempotents Abundant semigroups with medial idempotents [Volume 15, Issue 1, 2021, Pages 1-34]
  • M. Haddadi Abstracts in Persian [Volume 2, Issue 1, 2014, Pages 119-128]
  • Minimal ideal On Property (A) and the socle of the $f$-ring $Frm(mathcal{P}(mathbb R), L)$ [Volume 8, Issue 1, 2018, Pages 61-80]
  • M. Mahmoudi Abstracts in Persian [Volume 2, Issue 1, 2014, Pages 119-128]
  • M.M. Ebrahimi Abstracts in Persian [Volume 2, Issue 1, 2014, Pages 119-128]
  • Mohammad Roueentan Abstracts in Persian [Volume 2, Issue 1, 2014, Pages 119-128]
  • Monad A cottage industry of lax extensions [Volume 3, Issue 1, 2015, Pages 113-151]
  • Monad A correspondence between proximity homomorphisms and certain frame maps via a comonad [Volume 22, Issue 1, 2025, Pages 93-112]
  • Monoidal category Quantum determinants in ribbon category [Volume 17, Issue 1, 2022, Pages 203-232]
  • Monoidal category Determinant and rank functions in semisimple pivotal Ab-categories [Volume 19, Issue 1, 2023, Pages 47-80]
  • Monoid rings On zero divisor graph of unique product monoid rings over Noetherian reversible ring [Volume 4, Issue 1, 2016, Pages 95-114]
  • Morita equivalence Morita equivalence of certain crossed products [Volume 19, Issue 1, 2023, Pages 103-125]
  • MV-algebra On MV-algebras of non-linear functions [Volume 6, Speical Issue on the Occasion of Banaschewski's 90th Birthday (I), 2017, Pages 107-120]
  • MV-algebra Tense like equality algebras [Volume 13, Issue 1, 2020, Pages 143-166]
N
  • Naturally ordered semigroups Abundant semigroups with medial idempotents [Volume 15, Issue 1, 2021, Pages 1-34]
  • Nearness and uniform frame Celebrating Professor Themba A. Dube (A TAD Celebration I) [Volume 20, Issue 1, 2024, Pages 33-103]
  • Noetherian ordered semigroup Weakly right po-Noetherian ordered semigroups [Volume 24, Issue 1, 2026, Pages 151-170]
  • Noetherian space Primitive hyperideals and hyperstructure spaces of hyperrings [Volume 22, Issue 1, 2025, Pages 157-173]
  • Noise Bayer noise quasisymmetric functions and some combinatorial algebraic structures [Volume 21, Issue 1, 2024, Pages 241-282]
O
P
  • Pasting diagrams Combinatorial approach of the category $Theta_0$ of cubical pasting diagrams [Volume 21, Issue 1, 2024, Pages 19-68]
  • Picard group Picard group of dual categories [Volume 23, Issue 1, 2025]
  • Pointfree topology On the pointfree counterpart of the local definition of classical continuous maps [Volume 8, Issue 1, 2018, Pages 1-8]
  • Pointfree topology Pre-image of functions in $C(L)$ [Volume 15, Issue 1, 2021, Pages 35-58]
  • Pointfree topology An interview with Themba Andrew Dube (A TAD Interview) [Volume 20, Issue 1, 2024, Pages 5-32]
  • Polynomial rings On zero divisor graph of unique product monoid rings over Noetherian reversible ring [Volume 4, Issue 1, 2016, Pages 95-114]
  • Pontryagin duality Duality theory of $p$-adic Hopf algebras [Volume 14, Issue 1, 2021, Pages 81-118]
  • Priestley duality Distributive lattices with strong endomorphism kernel property as direct sums [Volume 13, Issue 1, 2020, Pages 45-54]
  • Priestley duality Natural and restricted Priestley duality for ternary algebras and their cousins [Volume 16, Issue 1, 2022, Pages 59-104]
  • Priestley duality Expanding Belnap 2: the dual category in depth [Volume 17, Issue 1, 2022, Pages 47-84]
  • Product Actions of a separately strict cpo-monoid on pointed directed complete posets [Volume 3, Issue 1, 2015, Pages 21-42]
  • Product Properties of products for flatness in the category of $S$-posets [Volume 5, Issue 1, 2016, Pages 131-152]
  • Product Some lower separation axioms in LG-topologies [(Articles in Press)]
  • Projective Quasi-projective covers of right $S$-acts [Volume 2, Issue 1, 2014, Pages 37-45]
  • Promonoid A characterization of a pomonoid $S$ all of its cyclic $S$-posets are regular injective [Volume 1, Issue 1, 2013, Pages 103-117]
  • Proximity homomorphism A correspondence between proximity homomorphisms and certain frame maps via a comonad [Volume 22, Issue 1, 2025, Pages 93-112]
Q
R
  • RB-domains A note on the problem when FS-domains coincide with RB-domains [Volume 8, Issue 1, 2018, Pages 51-59]
  • Realcompacification Mappings to Realcompactifications [Volume 10, Issue 1, 2019, Pages 107-116]
  • Rectangular lattice A new property of congruence lattices of slim, planar, semimodular lattices [Volume 16, Issue 1, 2022, Pages 1-28]
  • Reflexive Graphs Birkhoff's Theorem from a geometric perspective: A simple example [Volume 4, Issue 1, 2016, Pages 1-8]
  • Regular dually quasi-De Morgan semi-Heyting algebra of level 1 Dually quasi-De Morgan Stone semi-Heyting algebras II. Regularity [Volume 2, Issue 1, 2014, Pages 65-82]
  • Regular dually, quasi-De Morgan, semi-Heyting algebra of level 1 Dually quasi-De Morgan Stone semi-Heyting algebras I. Regularity [Volume 2, Issue 1, 2014, Pages 47-64]
  • Regular injectivity A characterization of a pomonoid $S$ all of its cyclic $S$-posets are regular injective [Volume 1, Issue 1, 2013, Pages 103-117]
  • Regularization Slimming and regularization of cozero maps [Volume 6, Speical Issue on the Occasion of Banaschewski's 90th Birthday (I), 2017, Pages 67-84]
  • Representation A Universal Investigation of $n$-representations of $n$-quivers [Volume 10, Issue 1, 2019, Pages 69-106]
  • Residuated lattice The prime state ideal theorem in state residuated lattices [Volume 18, Issue 1, 2023, Pages 131-153]
  • Reverse Order Law (b, c)-inverse, inverse along an element, and the Schรผtzenberger category of a semigroup [Volume 15, Issue 1, 2021, Pages 255-272]
  • Reversible rings On zero divisor graph of unique product monoid rings over Noetherian reversible ring [Volume 4, Issue 1, 2016, Pages 95-114]
  • RGB Bayer noise quasisymmetric functions and some combinatorial algebraic structures [Volume 21, Issue 1, 2024, Pages 241-282]
  • Ribbon category Quantum determinants in ribbon category [Volume 17, Issue 1, 2022, Pages 203-232]
  • Right S-act Characterization of Monoids by Condition $(PWP_{S})$ of right acts [Volume 25, Issue 1, 2026]
  • Ring of real continuous functions The ring of real-continuous functions on a topoframe [Volume 4, Issue 1, 2016, Pages 75-94]
  • Ring of real-valued functions The ring of real-valued functions on a frame [Volume 5, Issue 1, 2016, Pages 85-102]
S
  • Secure domination Perfect secure domination in graphs [Volume 7, Special Issue on the Occasion of Banaschewski's 90th Birthday (II), 2017, Pages 125-140]
  • Semi-abelian algebraic theory On bornological semi-abelian algebras [Volume 14, Issue 1, 2021, Pages 181-222]
  • Semigroup act Action graph of a semigroup act & its functorial connection [Volume 18, Issue 1, 2023, Pages 43-80]
  • Semi-left-exactness Product preservation and stable units for reflections into idempotent subvarieties [Volume 13, Issue 1, 2020, Pages 1-22]
  • Semiring $Z$-ideals and $Z$-congruences on semiring $mathcal{R}^+(L)$ [Volume 24, Issue 1, 2026, Pages 105-135]
  • Separation The notions of closedness and D-connectedness in quantale-valued approach spaces [Volume 12, Issue 1, 2020, Pages 149-173]
  • Sheffer stroke Relation between Sheffer Stroke and Hilbert algebras [Volume 14, Issue 1, 2021, Pages 245-268]
  • Sheffer stroke Hilbert algebra Relation between Sheffer Stroke and Hilbert algebras [Volume 14, Issue 1, 2021, Pages 245-268]
  • Simplicial modules Replacing bar-like resolutions in a simplicial setting [Volume 24, Issue 1, 2026, Pages 137-150]
  • S-lattice On free acts over semigroups and their lattices of radical subacts [Volume 19, Issue 1, 2023, Pages 81-102]
  • S-metrizable S-Metrizability and the Wallman basis of a frame [Volume 20, Issue 1, 2024, Pages 155-174]
  • Socle On Property (A) and the socle of the $f$-ring $Frm(mathcal{P}(mathbb R), L)$ [Volume 8, Issue 1, 2018, Pages 61-80]
  • Solid frame homomorphism Frames in which double pseudocomplements of cozero elements are cozero elements [(Articles in Press)]
  • Special Group Inductive graded rings, hyperfields and quadratic forms [Volume 23, Issue 1, 2025]
  • Specialization semilattice Universal extensions of specialization semilattices [Volume 17, Issue 1, 2022, Pages 101-116]
  • State ideal The prime state ideal theorem in state residuated lattices [Volume 18, Issue 1, 2023, Pages 131-153]
  • State prime State filters in state residuated lattices [Volume 10, Issue 1, 2019, Pages 17-37]
  • Stone-$rm{check{C}}$ech compactification Constructing the Banaschewski compactification through the functionally countable subalgebra of $C(X)$ [Volume 14, Issue 1, 2021, Pages 167-180]
  • Stone duality Classification of Boolean algebras through von Neumann regular $mathcal{C}^{infty}-$rings [Volume 21, Issue 1, 2024, Pages 211-239]
  • Stone-\v{C}ech compactification Direct products of cyclic semigroups and left zero semigroups in $etamathbb{N}$ [Volume 20, Issue 1, 2024, Pages 221-232]
  • Stone-v{Cech} compactification A pointfree version of remainder preservation [Volume 1, Issue 1, 2013, Pages 27-58]
  • Strongly hollow ideals The dual-classical Krull dimension of rings via topology [Volume 25, Issue 1, 2026]
  • Super finitely separating functions A note on the problem when FS-domains coincide with RB-domains [Volume 8, Issue 1, 2018, Pages 51-59]
  • Symmetric reflection spaces Realization of locally extended affine Lie algebras of type $A_1$ [Volume 5, Issue 1, 2016, Pages 153-162]
T
  • T0-reflection On injective objects and existence of injective hulls in ๐‘„-TOP/(๐‘Œ, ๐œŽ) [Volume 17, Issue 1, 2022, Pages 173-202]
  • Ternary algebra Natural and restricted Priestley duality for ternary algebras and their cousins [Volume 16, Issue 1, 2022, Pages 59-104]
  • The space of minimal prime ideals On some properties of the space of minimal prime ideals of ๐ถ๐‘ (๐‘‹) [Volume 17, Issue 1, 2022, Pages 85-100]
  • Thick ideal On one-sided $mathcal{U}$-ideals in monoidal categories [(Articles in Press)]
  • Three-pendant Three-crown Property A new property of congruence lattices of slim, planar, semimodular lattices [Volume 16, Issue 1, 2022, Pages 1-28]
  • Topoframe The ring of real-continuous functions on a topoframe [Volume 4, Issue 1, 2016, Pages 75-94]
  • Topoframe Some lower separation axioms in LG-topologies [(Articles in Press)]
  • Topological group Lattice of compactifications of a topological group [Volume 10, Issue 1, 2019, Pages 39-50]
  • Topological space Topological spaces versus frames in the topos of $M$-sets [Volume 20, Issue 1, 2024, Pages 233-260]
  • Torsion free On (po-)torsion free and principally weakly (po-)flat $S$-posets [Volume 8, Issue 1, 2018, Pages 35-49]
  • Triangle algebra Pure filters and topological spaces on triangle algebras [Volume 24, Issue 1, 2026, Pages 63-90]
U
  • U-GPW-flat Characterization of monoids by ($U$-)$GPW$-flatness of right acts [Volume 21, Issue 1, 2024, Pages 127-152]
  • Uniformities and covering properties for partial frames Abstracts in Persian [Volume 2, Issue 1, 2014, Pages 119-128]
  • Uniformity Uniformities and covering properties for partial frames (I) [Volume 2, Issue 1, 2014, Pages 1-21]
  • Uniformity Uniformities and covering properties for partial frames (II) [Volume 2, Issue 1, 2014, Pages 23-35]
  • Union-Closed Sets Conjecture Frankl's Conjecture for a subclass of semimodular lattices [Volume 11, Special Issue Dedicated to Prof. George A. Grätzer, 2019, Pages 197-206]
  • Unique product monoids On zero divisor graph of unique product monoid rings over Noetherian reversible ring [Volume 4, Issue 1, 2016, Pages 95-114]
V
  • Von Neumann Regular Rings Classification of Boolean algebras through von Neumann regular $mathcal{C}^{infty}-$rings [Volume 21, Issue 1, 2024, Pages 211-239]
W
  • Wallman basis S-Metrizability and the Wallman basis of a frame [Volume 20, Issue 1, 2024, Pages 155-174]
  • Witt rings Witt rings of quadratically presentable fields [Volume 12, Issue 1, 2020, Pages 1-23]
Y
  • Yosida representation The projectable hull of an archimedean $ell$-group with weak unit [Volume 7, Special Issue on the Occasion of Banaschewski's 90th Birthday (II), 2017, Pages 165-179]
  • Yosida representation Representation of $H$-closed monoreflections in archimedean $ell$-groups with weak unit [Volume 9, Issue 1, 2018, Pages 1-13]
Z
  • Zappa-Sz$\acute{\rm e}$p products Semigroups with inverse skeletons and Zappa-Sz$cute{ m e}$p products [Volume 1, Issue 1, 2013, Pages 59-89]
  • Zariski topology Pure filters and topological spaces on triangle algebras [Volume 24, Issue 1, 2026, Pages 63-90]
  • Zero-dimensional space Constructing the Banaschewski compactification through the functionally countable subalgebra of $C(X)$ [Volume 14, Issue 1, 2021, Pages 167-180]
  • Zero-divisor graphs On zero divisor graph of unique product monoid rings over Noetherian reversible ring [Volume 4, Issue 1, 2016, Pages 95-114]