Pure Extending Objects
Authors : Mustafa Kemal Berktaş
Pages : 100-101
View : 24 | Download : 7
Publication Date : 2021-04-28
Article Type : Research
Abstract :In this paper we introduce two new concepts, namely, pure extending objects and $\mathcal{K}$-nonsingular objects and then, we prove that any pair of subisomorphic $\mathcal{K}$-nonsingular objects in a finitely accessible additive category with kernels $\mathcal{A}$ are isomorphic to each other if and only if for any object $Y$ and any pure extending $\mathcal{K}$-nonsingular object $X$, if $X$ and $Y$ are subisomorphic to each other then $X\cong Y$.Keywords : Finitely accessible category, Pure essential monomorphism, Nonsinguler object