On F -cosmall morphisms

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Date

2022

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Publisher

Ankara Üniversitesi

Abstract

In this paper, we first define the notion of F -cosmall quotient for an additive exact substructure F of an exact structure E in an additive category A . We show that every F -cosmall quotient is right minimal in some cases. We also give the definition of F -superfluous quotient and we relate it the approximation of modules. As an application, we investigate our results in a pure-exact substructure F .

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Keywords

F -cosmall quotients, right minimal morphisms, F -superfluous quotients

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