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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2026 / Volume: 69 Issue: 1

Relative subcopure-injective modules

Yusuf Alagöz(SİİRT ÜNİVERSİTESİ, FEN-EDEBİYAT FAKÜLTESİ)0000-0002-2535-4679
Pages
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Publication Date
2020-06-30
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AI Summary & Key Takeaways

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

We studied the properties of subcopure-injectivity domains and of sc-indigent modules and investigated over some certain rings.

📌 3 Key Takeaways

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Objective & Hypothesis:In this paper, copure-injective modules is examined from an alternative perspective.
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Key Findings & Data:For two modules A and B, A is called B-subcopure-injective if for every copure monomorphism f : B → C and homomorphism g : B → A, there exists a homomorphism h : C → A such that hf=g.
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Conclusion & Impact:We studied the properties of subcopure-injectivity domains and of sc-indigent modules and investigated over some certain rings.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Copure-injective modules · subcopure-injectivity domains · sc-indigent modules

Abstract

In this paper, copure-injective modules is examined from an alternative perspective. For two modules A and B, A is called B-subcopure-injective if for every copure monomorphism f : B → C and homomorphism g : B → A, there exists a homomorphism h : C → A such that hf=g. For a module A, the subcopure-injectivity domain of A is defined to be the collection of all modules B such that A is B-subcopure-injective. Basic properties of the notion of subcopure-injectivity are investigated. We obtain characterizations for various types of rings and modules, including copure-injective modules, right CDS rings and right V-rings in terms of subcopure-injectivity domains . Since subcopure-injectivity domains clearly contains all copure-injective modules, studying the notion of modules which are subcopure-injective only with respect to the class of copure-injective modules is reasonable. We refer to these modules as sc-indigent. We studied the properties of subcopure-injectivity domains and of sc-indigent modules and investigated over some certain rings.

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Cite This Article

Alagöz, Y. (2020). Relative subcopure-injective modules. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 69 Issue: 1. https://doi.org/10.31801/cfsuasmas.640331

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