✨
AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
Also, it is proved that every strongly t-extending module has strongly summand intersection property and densely co-Hopfian property.
📌 3 Key Takeaways
🎯
Objective & Hypothesis:In this paper, we introduce the notions of strongly t-extending and strongly t-Baer modules.
📊
Key Findings & Data:We provide several characterizations and investigate properties of each of these concepts.
💡
Conclusion & Impact:Also, it is proved that every strongly t-extending module has strongly summand intersection property and densely co-Hopfian property.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables: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.
🔖
Cite This Article
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