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Yapay Zeka Hızlı Bakış & Çıkarımlar
AI Insight⚡ TL;DR(1 Cümlede Hızlı Çıkarım)
In particular, we discuss these decompositions for submodules of multiplication modules and also arbitrary modules over Noetherian rings.
📌 3 Maddede Bu Makale
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Amaç & Hipotez: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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Temel Bulgular & Veri: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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Sonuç & Katkı:In particular, we discuss these decompositions for submodules of multiplication modules and also arbitrary modules over Noetherian rings.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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.
Anahtar kelimeler
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Bu Makaleye Atıf Yap
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