On semi weak factorization structures

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.

کلیدواژه ها:

Quasi right (left) factorization structure ، (semi weak) orthogonality ، (semi weak) ، factorization structure