On $\\mathcal{F}$-cosmall morphisms

Authors : Berke KALEBOĞAZ, Derya KESKİN TÜTÜNCÜ

Pages : 968-977

Doi:10.31801/cfsuasmas.1061084

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Publication Date : 2022-12-30

Article Type : Research Paper

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