TY - JOUR
ID - 76603
TI - On semi weak factorization structures
JO - Categories and General Algebraic Structures with Applications
JA - CGASA
LA - en
SN - 2345-5853
AU - Ilaghi-Hosseini, Azadeh
AU - Mousavi Mirkalai, Seyed Shahin
AU - Hosseini, Naser
AD - Department of Pure Mathematics, Faculty of Math and Computer, Shahid Bahonar University of Kerman
AD - Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran
AD - Department of Pure Mathematics, Faculty of Math and Computers, Shahid Bahonar University of Kerman, Kerman, Iran
Y1 - 2019
PY - 2019
VL - 11
IS - Special Issue Dedicated to Prof. George A. Grätzer
SP - 33
EP - 56
KW - Quasi right (left) factorization structure
KW - (semi weak) orthogonality
KW - (semi weak)
KW - factorization structure
DO - 10.29252/cgasa.11.1.33
N2 - In this article the notions of semi weak orthogonality and semi weak factorization structure in a category $\mathcal X$ are introduced. Then the relationship between semi weak factorization structures and quasi right (left) and weak factorization structures is given. The main result is a characterization of semi weak orthogonality, factorization of morphisms, and semi weak factorization structures by natural isomorphisms.
UR - https://cgasa.sbu.ac.ir/article_76603.html
L1 - https://cgasa.sbu.ac.ir/article_76603_4b608595da687086c978149f3a596b28.pdf
ER -