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Yapay Zeka Hızlı Bakış & Çıkarımlar
AI Insight⚡ TL;DR(1 Cümlede Hızlı Çıkarım)
We study n-almost prime submodules, in this paper.
📌 3 Maddede Bu Makale
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Amaç & Hipotez:Let R be a commutative ring with identity and M a unitary R-module, and n > 1 an integer number.
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Temel Bulgular & Veri: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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Sonuç & Katkı:We study n-almost prime submodules, in this paper.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap
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