Title of article :
STRONGLY T-EXTENDING MODULES and STRONGLY T-BAER MODULES
Author/Authors :
Ebrahimi Atani, Shahabaddin Department of Mathematics - Faculty of Science - University of Guilan , Dolati Pish Hesari, Saboura Department of Mathematics - Faculty of Science - University of Guilan , Khoramdel, Mehdi Department of Mathematics - Faculty of Science - University of Guilan
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
Journal title :
International Electronic Journal of Algebra
