Abstract
In this paper we introduce T-non-cosingular modules, dual Baer modules and K-modules. We prove that a module M is lifting and T-non-cosingular if and only if it is a dual Baer and K-module. Rings for which all modules are dual Baer are precisely determined. We also give a necessary condition for a finite direct sum of dual Baer modules to be dual Baer.
| Original language | English |
|---|---|
| Pages (from-to) | 261-269 |
| Number of pages | 9 |
| Journal | Glasgow Mathematical Journal |
| Volume | 52 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - May 2010 |
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