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Dergiler / Sakarya University Journal of Science / 2026 / Volume: 27 Issue: 1

Finitely-cosmall Quotients

Berke Kaleboğaz(Hacettepe Üniversitesi)0000-0002-4903-2244
Sayfa
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Yayın Tarihi
2023-02-28
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Moreover, we obtain an example of right minimal morphisms by using finitely-cosmall quotient (singly-cosmall quotient) morphisms.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, we first define the notion of finitely-cosmall quotient (singly-cosmall quotient) morphisms.
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Temel Bulgular & Veri:Then we give a characterization of this new concept.
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Sonuç & Katkı:Moreover, we obtain an example of right minimal morphisms by using finitely-cosmall quotient (singly-cosmall quotient) morphisms.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Pure-cosmall quotient morphisms · finitely-cosmall quotient morphisms · right minimal morphisms

Abstract

In this paper, we first define the notion of finitely-cosmall quotient (singly-cosmall quotient) morphisms. Then we give a characterization of this new concept. We show that an epimorphism p:Y→U is a finitely-cosmall quotient (singly-cosmall quotient) if and only if for any right R-module Z any morphism g:Z→Y such that pg is a finitely-copartial isomorphism (singly-copartial isomorphism) from Z to Y with codomain U is a finitely (singly) split epimorphism. We also investigate the relation between pure-cosmall quotient and finitely-cosmall quotient (singly-cosmall quotient) morphisms. We prove that over a right Noetherian ring R, an epimorphism p:Y→U is a pure-cosmall quotient morphism if and only if p is a finitely-cosmall quotient (singly-cosmall quotient) morphism. Moreover, we obtain an example of right minimal morphisms by using finitely-cosmall quotient (singly-cosmall quotient) morphisms.

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Bu Makaleye Atıf Yap

Kaleboğaz, B. (2023). Finitely-cosmall Quotients. Sakarya University Journal of Science, Volume: 27 Issue: 1. https://doi.org/10.16984/saufenbilder.1158987

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Kaynakça (15)

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