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
Pages
14
From page
86
To page
99
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
Serial Year
2016
Full Text URL
Record number
2600873
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