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Yapay Zeka Hızlı Bakış & Çıkarımlar
AI Insight⚡ TL;DR(1 Cümlede Hızlı Çıkarım)
Also we prove, if M is a module with finitely generated Jacobson radical, then M is f-semilocal if and only if M is finitely weakly supplemented and f-coatomic.
📌 3 Maddede Bu Makale
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Amaç & Hipotez:In this paper, we introduce finitely coatomic modules.
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Temel Bulgular & Veri:We prove that any direct sum of finitely coatomic modules is finitely coatomic.
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Sonuç & Katkı:Also we prove, if M is a module with finitely generated Jacobson radical, then M is f-semilocal if and only if M is finitely weakly supplemented and f-coatomic.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri
Abstract
In this paper, we introduce finitely coatomic modules. We prove that any direct sum of finitely coatomic modules is finitely coatomic. Also we prove, if M is a module with finitely generated Jacobson radical, then M is f-semilocal if and only if M is finitely weakly supplemented and f-coatomic.
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Bu Makaleye Atıf Yap
HATİPOĞLU, C., BİLHAN, G. (2022). Finitely coatomic modules. Hacettepe Journal of Mathematics and Statistics, Cilt: 36 - Sayı: 1, 37–41. https://ajindex.com/articles/530735