Pure Extending Objects

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Konuralp Journal of Mathematics
Volume:9 Issue:1
Pure Extending Objects

Pure Extending Objects

Authors : Mustafa Kemal BERKTAŞ

Pages : 100-101

View : 17 | Download : 9

Publication Date : 2021-04-28

Article Type : Research Paper

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

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