- International Electronic Journal of Algebra
- Volume:20 Issue:20
- STRONGLY T-EXTENDING MODULES AND STRONGLY T-BAER MODULES
STRONGLY T-EXTENDING MODULES AND STRONGLY T-BAER MODULES
Authors : S Ebrahimi Atani, S Dolati Pish Hesari, M Khoramdel
Pages : 86-99
Doi:10.24330/ieja.266185
View : 10 | Download : 7
Publication Date : 2016-12-01
Article Type : Research Paper
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.Keywords : Extending modules, strongly t extending modules, Baer modules, strongly t Baer modules