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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
Also we study and describe the maximal submodules of fully (m, n)-stable modules
📌 3 Key Takeaways
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Objective & Hypothesis:Let R be a commutative ring with non-zero identity element.
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Key Findings & Data:For two fixed positive integers m and n, a right R-module M is called fully (m, n)-stable, if θ(N) ⊆ N for each ngenerated submodule N of Mm and R-homomorphism θ : N → Mm.
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Conclusion & Impact:Also we study and describe the maximal submodules of fully (m, n)-stable modules
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:fully (m · n)-stable modules · n)-Baer criterion
Abstract
Let R be a commutative ring with non-zero identity element. For two fixed positive integers m and n. For two fixed positive integers m and n, a right R-module M is called fully (m, n)-stable, if θ(N) ⊆ N for each ngenerated submodule N of Mm and R-homomorphism θ : N → Mm. In this paper we give some characterization theorems and properties of fully (m, n)-stable modules which generalize the results of fully stable modules. Also we study and describe the maximal submodules of fully (m, n)-stable modules
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Cite This Article
ABBAS, M. S., MOHAMMEDALİ, M. J. (2009). A NOTE ON FULLY (m, n)-STABLE MODULES. International Electronic Journal of Algebra, Cilt: 6 - Sayı: 6, 65–73. https://ajindex.com/articles/832543