- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Vol: 71 Issue: 4
- On $\\mathcal{F}$-cosmall morphisms
On $\\mathcal{F}$-cosmall morphisms
Authors : Berke Kaleboğaz, Derya Keskin Tütüncü
Pages : 968-977
Doi:10.31801/cfsuasmas.1061084
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Publication Date : 2022-12-30
Article Type : Research
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