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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
We study n-almost prime submodules, in this paper.
📌 3 Key Takeaways
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Objective & Hypothesis:Let R be a commutative ring with identity and M a unitary R-module, and n > 1 an integer number.
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Key Findings & Data:As a generalization of the concept of prime submodules, a proper submodule N of M will be called n-almost prime, if for r ∈ R and x ∈ M with rx ∈ N \ (N : M) n−1N, either x ∈ N or r ∈ (N : M).
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Conclusion & Impact:We study n-almost prime submodules, in this paper.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Essential multiplicatively closed subsets · n-almost prime submodules · Prime submodules
Abstract
Let R be a commutative ring with identity and M a unitary R-module, and n > 1 an integer number. As a generalization of the concept of prime submodules, a proper submodule N of M will be called n-almost prime, if for r ∈ R and x ∈ M with rx ∈ N \ (N : M) n−1N, either x ∈ N or r ∈ (N : M). We study n-almost prime submodules, in this paper.
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Cite This Article
Azizi, A., Moradi, S. (2022). Generalizations of prime submodules. Hacettepe Journal of Mathematics and Statistics, Cilt: 44 - Sayı: 3, 587–598. https://ajindex.com/articles/530259