On semi weak factorization structures

نویسندگان
Ilaghi-Hosseini, Azadeh ID 1
Mousavi Mirkalai, Seyed Shahin ID 2
Hosseini, Naser ID 3

1 Department of Pure Mathematics, Faculty of Math and Computer, Shahid Bahonar University of Kerman

2 Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran

3 Department of Pure Mathematics, Faculty of Math and Computers, Shahid Bahonar University of Kerman, Kerman, Iran

doi
10.29252/cgasa.11.1.33
چکیده

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.

کلیدواژه‌ها
Quasi right (left) factorization structure, (semi weak) orthogonality, (semi weak), factorization structure