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Dergiler / 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
Sayfa
968–977
Yayın Tarihi
2022-12-30
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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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Temel Bulgular & Veri:We show that every $\mathcal{F}$-cosmall quotient is right minimal in some cases.
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Sonuç & Katkı:As an application, we investigate our results in a pure-exact substructure $\mathcal{F}$.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:$\mathcal{F}$-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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Bu Makaleye Atıf Yap

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/903591

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Kaynakça (9)

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