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Journals / Adıyaman Üniversitesi Fen Bilimleri Dergisi / 2019 / Cilt: 9 - Sayı: 2

Some Properties of $\oplus -$ Cofinitely $\delta -$s Supplemented Modules

Dual Sonlu Tümlenmiş Modüllerin Bazı Özellikleri

Figen ERYILMAZ
Pages
303–313
Publication Date
2019-12-30
DOI
—
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AI Summary & Key Takeaways

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

If $M$ is a $\oplus -gcof_{\delta }-$ supplemented module with SSP, then every direct summand of $M$ is $\oplus -gcof_{\delta }-$ supplemented.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we study the properties generalized $\oplus -$ cofinitely $\delta -$ supplemented modules or briefly $\oplus -gcof_{\delta }-$ supplemented modules.
📊
Key Findings & Data:We show that any direct sum of $\oplus -gcof_{\delta}- $ supplemented modules is a $\oplus -gcof_{\delta }-$ supplemented module.
💡
Conclusion & Impact:If $M$ is a $\oplus -gcof_{\delta }-$ supplemented module with SSP, then every direct summand of $M$ is $\oplus -gcof_{\delta }-$ supplemented.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:$\ \delta -$small submodule · $\delta -$supplemented module · cofinite submodule

Abstract

In this paper, we study the properties generalized $\oplus -$ cofinitely $\delta -$ supplemented modules or briefly $\oplus -gcof_{\delta }-$ supplemented modules. We show that any direct sum of $\oplus -gcof_{\delta}- $ supplemented modules is a $\oplus -gcof_{\delta }-$ supplemented module. If $M$ is a $\oplus -gcof_{\delta }-$ supplemented module with SSP, then every direct summand of $M$ is $\oplus -gcof_{\delta }-$ supplemented.

Özet

Bu çalışmada, genelleştirilmiş dual sonlu tümlenmiş modüllerin özellikleri çalışıldı. Bu modüller kısaca ile gösterildi. Genelleştirilmiş dual sonlu tümlenmiş modüllerin keyfi toplamının da genelleştirilmiş dual sonlu tümlenmiş modül olduğu gösterildi. modülünün direkt toplam terimlerinin toplama özelliğine sahip (DDT) genelleştirilmiş dual sonlu tümlenmiş bir modül olması durumunda modülünün her bir direkt toplam teriminin de genelleştirilmiş dual sonlu tümlenmiş modül olduğu ispatlandı.

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Cite This Article

ERYILMAZ, F. (2019). Some Properties of $\oplus -$ Cofinitely $\delta -$s Supplemented Modules. Adıyaman Üniversitesi Fen Bilimleri Dergisi, Cilt: 9 - Sayı: 2, 303–313. https://ajindex.com/articles/451064

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