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.
Subjects | Mathematical Sciences |
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Other ID | JA54GJ87BU |
Journal Section | Articles |
Authors | |
Publication Date | December 1, 2016 |
Published in Issue | Year 2016 |