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Journals / Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi / 2020 / Cilt: 13 - Sayı: Özel Sayı - 1

A Generalized Version of 𝒆-Supplemented Modules Relative to a Torsion Theory

𝒆-Tümlenmiş Modüllerin Torsiyon Teorisine Göre Genelleştirilmiş Bir Versiyonu

Esra ÖZTÜRK SÖZEN
Pages
76–82
Publication Date
2022-10-11
DOI
—
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AI Summary & Key Takeaways

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

After that, 𝑟𝑒-supplemented modules and 𝑟𝑒-hollow modules are introduced and investigated some fundamental properties of these modules.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The objective of this aim to obtain a torsion theoretic analogue of e-supplemented modules.
📊
Key Findings & Data:For this, firstly we define 𝑟𝑒-submodule of a module and give basic properties of this concept.
💡
Conclusion & Impact:After that, 𝑟𝑒-supplemented modules and 𝑟𝑒-hollow modules are introduced and investigated some fundamental properties of these modules.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

The objective of this aim to obtain a torsion theoretic analogue of e-supplemented modules. For this, firstly we define 𝑟𝑒-submodule of a module and give basic properties of this concept. After that, 𝑟𝑒-supplemented modules and 𝑟𝑒-hollow modules are introduced and investigated some fundamental properties of these modules.

Özet

Bu çalışmanın amacı 𝑒-tümlenmiş modüllerin torsiyon-teorik bir genelleştirmesini elde etmektir. Bunun için öncelikle bir modülün 𝑟𝑒-küçük alt modülleri tanımlanarak temel özelliklerine değinildi. Ardından 𝑟𝑒 -tümlenmiş modül ve 𝑟𝑒-oyuk modül kavramlarına yer verilerek bunlara ilişkin temel teorik özellikler irdelendi.

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Cite This Article

SÖZEN, E. Ö. (2022). A Generalized Version of 𝒆-Supplemented Modules Relative to a Torsion Theory. Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 13 - Sayı: Özel Sayı - 1, 76–82. https://ajindex.com/articles/505436

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References (6)

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