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 |
|---|---|
| Other ID | JA54GJ87BU |
| Authors | |
| Publication Date | December 1, 2016 |
| DOI | https://doi.org/10.24330/ieja.266185 |
| IZ | https://izlik.org/JA85RC37HK |
| Published in Issue | Year 2016 Volume: 20 Issue: 20 |