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

Finitely g-Supplemented Modules

Celil Nebiyev(ONDOKUZ MAYIS ÜNİVERSİTESİ)0000-0002-7992-7225
Hasan Hüseyin Ökten(AMASYA ÜNİVERSİTESİ, AMASYA TEKNİK BİLİMLER MESLEK YÜKSEKOKULU)0000-0002-7886-0815
Pages
82–86
Publication Date
2020-12-15
DOI
—
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AI Summary & Key Takeaways

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

In this work, some properties of these modules are investigated.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Let M be an R-module.
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Key Findings & Data:If every finitely generated submodule of M has a g-supplement in M, then M is called a finitely g-supplemented (or briefly fg-supplemented) module.
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Conclusion & Impact:In this work, some properties of these modules are investigated.
🔬Design:Konferans Bildirisi
📍Scope:Comprehensive Sample
⚙️Variables:Essential Submodules · g-Small Submodules · Supplemented Modules

Abstract

Let M be an R-module. If every finitely generated submodule of M has a g-supplement in M, then M is called a finitely g-supplemented (or briefly fg-supplemented) module. In this work, some properties of these modules are investigated.

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Cite This Article

Nebiyev, C., Ökten, H. H. (2020). Finitely g-Supplemented Modules. Conference Proceedings of Science and Technology, Cilt: 3 Sayı: 1, 82–86. https://ajindex.com/articles/1648712

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References (6)

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  3. 3 B. Koşar, C. Nebiyev, A. Pekin, A Generalization of g-Supplemented Modules, Miskolc Math. Notes, 20(1) (2019), 345-352.
  4. 4 C. Nebiyev, On a Generalization of Supplement Submodules, Int. J. of Pure and Appl. Math. 113 (2) (2017), 283-289.
  5. 5 R. Wisbauer, Foundations of Module and Ring Theory, Gordon and Breach, Philadelphia, 1991.
  6. 6 D. X. Zhou, X. R. Zhang, Small-Essential Submodules and Morita Duality, Southeast Asian Bull. of Math., 35 (2011), 1051-1062.