Keyword Index

A

  • Abundant semigroups Abundant Semigroups With Medial Idempotents [(Articles in Press)]
  • Alexandroff topology Tangled Closure Algebras [Volume 7, Special Issue on the Occasion of Banaschewski's 90th Birthday (II), 2017, Pages 9-31]
  • Ample semigroups Abundant Semigroups With Medial Idempotents [(Articles in Press)]
  • 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 $ell$-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

  • 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 $C(X)$ [(Articles in Press)]
  • 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]
  • Boole Birkhoff's Theorem from a geometric perspective: A simple example [Volume 4, Issue 1, 2016, Pages 1-8]
  • 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]

C

  • Cantor Birkhoff's Theorem from a geometric perspective: A simple example [Volume 4, Issue 1, 2016, Pages 1-8]
  • Cauchy complete Another proof of Banaschewski's surjection theorem [Volume 11, Special Issue Dedicated to Prof. George A. Grätzer, 2019, Pages 113-130]
  • 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]
  • Clique number Intersection graphs associated with semigroup acts [Volume 11, Special Issue Dedicated to Prof. George A. Grätzer, 2019, Pages 131-148]
  • Closure algebra Tangled Closure Algebras [Volume 7, Special Issue on the Occasion of Banaschewski's 90th Birthday (II), 2017, Pages 9-31]
  • Cogenerating set Injectivity in a category: an overview on smallness conditions [Volume 2, Issue 1, 2014, Pages 83-112]
  • 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 $(PWP)$ 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]
  • 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]
  • Cosheaves Some aspects of cosheaves on diffeological spaces [Volume 12, Issue 1, 2020, Pages 123-147]
  • Cozero sets Filters of Coz(X) [Volume 7, Special Issue on the Occasion of Banaschewski's 90th Birthday (II), 2017, Pages 107-123]
  • 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

E

  • 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]
  • 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

  • Finitely supported $Cb$-sets Separated finitely supported $Cb$-sets [Volume 13, Issue 1, 2020, Pages 55-82]
  • 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]
  • 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]
  • 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]
  • 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]
  • George A. Grätzer An interview with George A. Grätzer [Volume 11, Special Issue Dedicated to Prof. George A. Grätzer, 2019, Pages 11-18]
  • George Grätzer Celebrating Professor George A. Grätzer [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]
  • Grätzer--Schmidt Theorem Celebrating Professor George A. Grätzer [Volume 11, Special Issue Dedicated to Prof. George A. Grätzer, 2019, Pages 1-10]
  • 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]
  • 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]
  • 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 [(Articles in Press)]
  • Hoehnke radical (r,t)-injectivity in the category $S$-Act [Volume 11, Special Issue Dedicated to Prof. George A. Grätzer, 2019, Pages 169-196]
  • Hopf Duality theory of $p$-adic Hopf algebras [(Articles in Press)]
  • 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]

I

  • Idempotents Semigroups with inverse skeletons and Zappa-Sz$cute{ m e}$p products [Volume 1, Issue 1, 2013, Pages 59-89]
  • Injectivity (r,t)-injectivity in the category $S$-Act [Volume 11, Special Issue Dedicated to Prof. George A. Grätzer, 2019, Pages 169-196]
  • Injectivity in a Category: an Overview on Smallness Conditions Abstracts in Persian [Volume 2, Issue 1, 2014, Pages 119-128]
  • Interview An interview with George A. Grätzer [Volume 11, Special Issue Dedicated to Prof. George A. Grätzer, 2019, Pages 11-18]

J

  • 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]

L

  • Lattice Total graph of a $0$-distributive lattice [Volume 9, Issue 1, 2018, Pages 15-27]
  • 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]

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]
  • 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 [(Articles in Press)]
  • 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]
  • Monoid rings On zero divisor graph of unique product monoid rings over Noetherian reversible ring [Volume 4, Issue 1, 2016, Pages 95-114]
  • 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

O

P

  • Pointfree topology On the pointfree counterpart of the local definition of classical continuous maps [Volume 8, Issue 1, 2018, Pages 1-8]
  • 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 [(Articles in Press)]
  • Priestley duality Distributive lattices with strong endomorphism kernel property as direct sums [Volume 13, Issue 1, 2020, Pages 45-54]
  • 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]
  • 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]

Q

R

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 [(Articles in Press)]
  • Semi-left-exactness Product preservation and stable units for reflections into idempotent subvarieties [Volume 13, Issue 1, 2020, Pages 1-22]
  • 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 [(Articles in Press)]
  • Sheffer stroke Hilbert algebra Relation between Sheffer Stroke and Hilbert algebras [(Articles in Press)]
  • 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]
  • 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 $C(X)$ [(Articles in Press)]
  • Stone-v{Cech} compactification A pointfree version of remainder preservation [Volume 1, Issue 1, 2013, Pages 27-58]
  • 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

  • Topoframe The ring of real-continuous functions on a topoframe [Volume 4, Issue 1, 2016, Pages 75-94]
  • Topological group Lattice of compactifications of a topological group [Volume 10, Issue 1, 2019, Pages 39-50]
  • Torsion free On (po-)torsion free and principally weakly (po-)flat $S$-posets [Volume 8, Issue 1, 2018, Pages 35-49]

U

  • 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]

W

  • 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]
  • Zero-dimensional space Constructing the Banaschewski compactification through the functionally countable subalgebra of $C(X)$ [(Articles in Press)]
  • Zero-divisor graphs On zero divisor graph of unique product monoid rings over Noetherian reversible ring [Volume 4, Issue 1, 2016, Pages 95-114]