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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2022 / Cilt: 71 - Sayı: 4

On $\mathcal{F}$-cosmall morphisms

Berke KALEBOĞAZ
Derya KESKİN TÜTÜNCÜ
Pages
968–977
Publication Date
2022-12-30
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

As an application, we investigate our results in a pure-exact substructure $\mathcal{F}$.

📌 3 Key Takeaways

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Objective & Hypothesis: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 $\mathcal{A}$.
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Key Findings & Data:We show that every $\mathcal{F}$-cosmall quotient is right minimal in some cases.
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Conclusion & Impact:As an application, we investigate our results in a pure-exact substructure $\mathcal{F}$.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:$\mathcal{F}$-cosmall quotients · right minimal morphisms · $\mathcal{F}$-superfluous quotients

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 $\mathcal{F}$.

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Cite This Article

KALEBOĞAZ, B., TÜTÜNCÜ, D. K. (2022). On $\mathcal{F}$-cosmall morphisms. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Cilt: 71 - Sayı: 4, 968–977. https://ajindex.com/articles/867580

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