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AI Summary & Key Takeaways
AI Insight⚡ 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:Domain Parameters
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/530735