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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
The main purpose of this paper is to introduce and investigate the notion of $\psi$-secondary submodules of an $R$-module $M$ as a generalization of secondary submodules of $M$.
📌 3 Key Takeaways
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Objective & Hypothesis:Let $R$ be a commutative ring with identity and $M$ be an $R$-module.
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Key Findings & Data:Let $\psi : S(M)\rightarrow S(M) \cup \{\emptyset \}$ be a function, where $S(M)$ denote the set of all submodules of $M$.
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Conclusion & Impact:The main purpose of this paper is to introduce and investigate the notion of $\psi$-secondary submodules of an $R$-module $M$ as a generalization of secondary submodules of $M$.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Secondary submodule · phi-prime ideal · weak secondary submodule
Abstract
Let $R$ be a commutative ring with identity and $M$ be an $R$-module. Let $\psi : S(M)\rightarrow S(M) \cup \{\emptyset \}$ be a function, where $S(M)$ denote the set of all submodules of $M$. The main purpose of this paper is to introduce and investigate the notion of $\psi$-secondary submodules of an $R$-module $M$ as a generalization of secondary submodules of $M$.
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Cite This Article
FARSHADİFAR, F., ANSARİ-TOROGHY, H. (2020). $\psi$-SECONDARY SUBMODULES OF A MODULE. International Electronic Journal of Algebra, Cilt: 27 - Sayı: 27, 77–87. https://ajindex.com/articles/832268