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Yapay Zeka Hızlı Bakış & Çıkarımlar
AI Insight⚡ TL;DR(1 Cümlede Hızlı Çıkarım)
Also, it is proved that every strongly t-extending module has strongly summand intersection property and densely co-Hopfian property.
📌 3 Maddede Bu Makale
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Amaç & Hipotez:In this paper, we introduce the notions of strongly t-extending and strongly t-Baer modules.
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Temel Bulgular & Veri:We provide several characterizations and investigate properties of each of these concepts.
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Sonuç & Katkı:Also, it is proved that every strongly t-extending module has strongly summand intersection property and densely co-Hopfian property.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Extending modules · strongly t-extending modules · Baer modules
Abstract
In this paper, we introduce the notions of strongly t-extending and strongly t-Baer modules. We provide several characterizations and investigate properties of each of these concepts. It is shown that, while a direct summand of a strongly t-extending module inherits the property, direct sums of strongly t-extending modules do not. Moreover, when a direct sum of strongly t-extending modules is strongly t-extending, is investigated. Also, it is proved that every strongly t-extending module has strongly summand intersection property and densely co-Hopfian property.
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Bu Makaleye Atıf Yap
Atani, S. E., Hesari, S. D. P., Khoramdel, M. (2016). STRONGLY T-EXTENDING MODULES AND STRONGLY T-BAER MODULES. International Electronic Journal of Algebra, Cilt: 20 - Sayı: 20, 86–99. https://ajindex.com/articles/832372