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 -