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Journals / Conference Proceedings of Science and Technology / 2026 / Cilt: 3 Sayı: 1

Cofinitely Weak e-Supplemented Modules

Berna Koşar(USKUDAR UNIVERSITY)
Pages
24–28
Publication Date
2020-12-15
DOI
—
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AI Summary & Key Takeaways

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

Every cofinitely weak supplemented module is cwe-supplemented.

📌 3 Key Takeaways

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Objective & Hypothesis:In this work, R will denote an associative ring with unity and all module are unital left R􀀀modules.
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Key Findings & Data:Every finitely generated cwe-supplemented module is weakly essential supplemented.
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Conclusion & Impact:Every cofinitely weak supplemented module is cwe-supplemented.
🔬Design:Konferans Bildirisi
📍Scope:Comprehensive Sample
⚙️Variables:Cofinite Submodules · Essential Submodules · Small Submodules

Abstract

In this work, R will denote an associative ring with unity and all module are unital left R􀀀modules. Let M be an R-module. If every cofinite essential submodule of M has a weak supplement in M, then M is called a cofinitely weak esupplemented (or briefly cwe-supplemented) module. In this work, some properties of these modules are investigated. Every cofinitely essential supplemented module is cwe-supplemented. Every essential supplemented module is cwe-supplemented. Every weakly essential supplemented module is cwe-supplemented. Every finitely generated cwe-supplemented module is weakly essential supplemented. Every cofinitely weak supplemented module is cwe-supplemented.

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Cite This Article

Koşar, B. (2020). Cofinitely Weak e-Supplemented Modules. Conference Proceedings of Science and Technology, Cilt: 3 Sayı: 1, 24–28. https://ajindex.com/articles/1648702

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References (9)

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