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Journals / Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi / 2022 / Cilt: 15 - Sayı: 1

Some Properties of Amply Weak Essential Supplemented Modules

Berna KOŞAR
Pages
387–393
Publication Date
2022-03-27
DOI
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AI Summary & Key Takeaways

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

Then every e-supplement submodule in M is amply weak essential supplemented.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this work, some properties of amply weak essential supplemented modules are investigated.
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Key Findings & Data:Then every finitely M-generated module is amply weak essential supplemented.
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Conclusion & Impact:Then every e-supplement submodule in M is amply weak essential supplemented.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Essential Submodules · Small Submodules · Supplemented Modules

Abstract

In this work, some properties of amply weak essential supplemented modules are investigated. Let M be a projective and weakly essential supplemented module. Then every finitely M-generated module is amply weak essential supplemented. Let R be any ring. Then R is weakly essential supplemented if and only if every finitely generated R-module is amply weak essential supplemented. Let M be an amply weak essential supplemented module. Then every e-supplement submodule in M is amply weak essential supplemented.

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Cite This Article

KOŞAR, B. (2022). Some Properties of Amply Weak Essential Supplemented Modules. Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 15 - Sayı: 1, 387–393. https://ajindex.com/articles/395441

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