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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
In particular, we discuss these decompositions for submodules of multiplication modules and also arbitrary modules over Noetherian rings.
📌 3 Key Takeaways
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Objective & Hypothesis:In this paper we continue our study about quasi-primary submodules (probably satisfying the primeful property), that was defined and studied in Part I (see [8]).
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Key Findings & Data:We define a quasi-primary decomposition for submodules of a module over a commutative ring with identity and study various types of the corresponding minimal forms.
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Conclusion & Impact:In particular, we discuss these decompositions for submodules of multiplication modules and also arbitrary modules over Noetherian rings.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Quasi-primary submodule · Primeful property · Radical of a sub- module
Abstract
In this paper we continue our study about quasi-primary submodules (probably satisfying the primeful property), that was defined and studied in Part I (see [8]). We define a quasi-primary decomposition for submodules of a module over a commutative ring with identity and study various types of the corresponding minimal forms. In particular, we discuss these decompositions for submodules of multiplication modules and also arbitrary modules over Noetherian rings.
Keywords
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Cite This Article
MOGHIMI, H. F., SAMIEI, M. (2022). Quasi-primary submodules satisfying the primeful property II. Hacettepe Journal of Mathematics and Statistics, Cilt: 44 - Sayı: 4, 801–811. https://ajindex.com/articles/530277