%0 Journal Article
%T On semi weak factorization structures
%J Categories and General Algebraic Structures with Applications
%I Shahid Beheshti University
%Z 2345-5853
%A Ilaghi-Hosseini, Azadeh
%A Mousavi Mirkalai, Seyed Shahin
%A Hosseini, Naser
%D 2019
%\ 07/01/2019
%V 11
%N Special Issue Dedicated to Prof. George A. Grätzer
%P 33-56
%! On semi weak factorization structures
%K Quasi right (left) factorization structure
%K (semi weak) orthogonality
%K (semi weak)
%K factorization structure
%R 10.29252/cgasa.11.1.33
%X 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.
%U https://cgasa.sbu.ac.ir/article_76603_4b608595da687086c978149f3a596b28.pdf