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Yapay Zeka Hızlı Bakış & Çıkarımlar
AI Insight⚡ TL;DR(1 Cümlede Hızlı Çıkarım)
In this note some properties of coatomic modules are studied and it is shown that the following are equivalent for a module M over a Dedekind domain R: (1) M is a coatomic module. (2) Every submodule of M is coatomic. (3) M/L is reduced for every submodule L of M.
📌 3 Maddede Bu Makale
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Amaç & Hipotez:Let R be a ring with identity and M a unital right R-module.
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Temel Bulgular & Veri:Let R be a ring with identity and M a unital right R-module.
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Sonuç & Katkı:In this note some properties of coatomic modules are studied and it is shown that the following are equivalent for a module M over a Dedekind domain R: (1) M is a coatomic module. (2) Every submodule of M is coatomic. (3) M/L is reduced for every submodule L of M.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri
Abstract
Let R be a ring with identity and M a unital right R-module. In this note some properties of coatomic modules are studied and it is shown that the following are equivalent for a module M over a Dedekind domain R: (1) M is a coatomic module. (2) Every submodule of M is coatomic. (3) M/L is reduced for every submodule L of M.
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Bu Makaleye Atıf Yap
GÜNGÖROĞLU, G., HARMANCI, A. (2022). Coatomic modules over Dedekind domains. Hacettepe Bulletin of Natural Sciences and Engineering Series B / Mathematics and Statistics, Cilt: 28 - Sayı:, 25–29. https://ajindex.com/articles/528317