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Yapay Zeka Hızlı Bakış & Çıkarımlar
AI Insight⚡ TL;DR(1 Cümlede Hızlı Çıkarım)
Finally, we characterize Artinian* modules in the amalgamated module construction.
📌 3 Maddede Bu Makale
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Amaç & Hipotez:In this paper, we introduce and study Artinian* modules as a generalization of Artinian modules.
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Temel Bulgular & Veri:We transfer several results of Artinian modules to Artinian* modules.
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Sonuç & Katkı:Finally, we characterize Artinian* modules in the amalgamated module construction.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Artinian ring · Artinian module · Artinian* ring
Abstract
In this paper, we introduce and study Artinian* modules as a generalization of Artinian modules. We transfer several results of Artinian modules to Artinian* modules. We also provide several characterizations of this new class of modules. Furthermore, we investigate the existence of secondary representation for Artinian* modules over commutative regular rings. Finally, we characterize Artinian* modules in the amalgamated module construction.
Anahtar kelimeler
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Bu Makaleye Atıf Yap
Ansari, A. U., Kim, H., Maurya, S. K., Tekir, Ü. (2025). Artinian* Modules. International Electronic Journal of Algebra, Volume: 37 Issue: 37. https://doi.org/10.24330/ieja.1571460