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Journals / Hacettepe Journal of Mathematics and Statistics / 2007 / Cilt: 36 - Sayı: 1

Finitely Coatomic Modules

C. HATİPOĞLU
G. BİLHAN
Pages
37–41
Publication Date
2022-10-18
DOI
—
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⚡ TL;DR(Too Long; Didn't Read)

Also we prove, if M is a module with finitely generated Jacobson radical, then M is f-semilocal if and only if M is finitely weakly supplemented and f-coatomic.

📌 3 Key Takeaways

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Objective & Hypothesis:In this paper, we introduce finitely coatomic modules.
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Key Findings & Data:We prove that any direct sum of finitely coatomic modules is finitely coatomic.
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Conclusion & Impact:Also we prove, if M is a module with finitely generated Jacobson radical, then M is f-semilocal if and only if M is finitely weakly supplemented and f-coatomic.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Coatomic modules · Supplemented modules · 2000 AMS Classification: Primary: 16 D 10

Abstract

In this paper, we introduce finitely coatomic modules. We prove that any direct sum of finitely coatomic modules is finitely coatomic. Also we prove, if M is a module with finitely generated Jacobson radical, then M is f-semilocal if and only if M is finitely weakly supplemented and f-coatomic.

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Cite This Article

HATİPOĞLU, C., BİLHAN, G. (2022). Finitely Coatomic Modules. Hacettepe Journal of Mathematics and Statistics, Cilt: 36 - Sayı: 1, 37–41. https://ajindex.com/articles/530734

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References (3)

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  3. Rudlof, P. On the structure of couniform and complemented modules, J. Pure Appl. Algebra 74(3), 281–305, 1991. Z¨oschinger, H. Koatomare Moduln, Math. Z. 170, 221–232, 1980. Z¨oschinger, H. Komplemente als direkte Summanden III, Arch. Math. (Basel) 46 (2), 125– 135, 1986.