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Journals / Journal of Universal Mathematics / 2021 / Cilt: 4 - Sayı: 2

ON GENERALIZATIONS OF LOCALLY ARTINIAN SUPPLEMENTED MODULES

Burcu NİŞANCI TÜRKMEN
Pages
252–258
Publication Date
2021-07-31
DOI
—
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⚡ TL;DR(Too Long; Didn't Read)

Finally, we have proved that the reduced part of a strongly locally artinian radical supplemented $R$-module has the same property over a Dedekind domain $R$.

📌 3 Key Takeaways

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Objective & Hypothesis:The aim of this paper is to investigate generalizations of locally artinian supplemented modules in module theory, namely locally artinian radical supplemented modules and strongly locally artinian radical supplemented modules.
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Key Findings & Data:We have obtained elementary features for them.
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Conclusion & Impact:Finally, we have proved that the reduced part of a strongly locally artinian radical supplemented $R$-module has the same property over a Dedekind domain $R$.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Locally artinian module · (Locally artinian) supplement · (strongly) locally artinian radical supplemented module

Abstract

The aim of this paper is to investigate generalizations of locally artinian supplemented modules in module theory, namely locally artinian radical supplemented modules and strongly locally artinian radical supplemented modules. We have obtained elementary features for them. Also, we have characterized strongly locally artinian radical supplemented modules by left perfect rings. Finally, we have proved that the reduced part of a strongly locally artinian radical supplemented $R$-module has the same property over a Dedekind domain $R$.

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Cite This Article

TÜRKMEN, B. N. (2021). ON GENERALIZATIONS OF LOCALLY ARTINIAN SUPPLEMENTED MODULES. Journal of Universal Mathematics, Cilt: 4 - Sayı: 2, 252–258. https://ajindex.com/articles/782182

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References (1)

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