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t-Dual Baer Modules and t-Lifting Modules
| Content Provider | Semantic Scholar |
|---|---|
| Author | Amouzegar, Tayyebeh Tütüncü, Derya Keskin Talebi, Yahya |
| Copyright Year | 2012 |
| Abstract | We introduce the notions of t-lifting modules and t-dual Baer modules, which are generalizations of lifting modules. It is shown that an amply supplemented module M is t-lifting if and only if M is t-dual Baer and a t-$\mathcal{K}$-module. We also prove that, over a right perfect ring R, every noncosingular right R-module is injective if and only if every right R-module is t-dual Baer if and only if every right R-module is t-lifting if and only if every injective right R-module is t-lifting. |
| Starting Page | 159 |
| Ending Page | 169 |
| Page Count | 11 |
| File Format | PDF HTM / HTML |
| DOI | 10.1007/s10013-013-0045-z |
| Alternate Webpage(s) | https://arxiv.org/pdf/1211.3874v1.pdf |
| Alternate Webpage(s) | https://doi.org/10.1007/s10013-013-0045-z |
| Volume Number | 42 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
