Back to Search
Start Over
On cofinitely weak $\delta-$ supplemented modules
- Source :
- Miskolc Mathematical Notes. 18:731
- Publication Year :
- 2017
- Publisher :
- Mathematical Notes, 2017.
-
Abstract
- WOS: 000425348300015 Let R be a ring and M be a left R-module. M is called cofinitely weak delta-supplemented ( or briefly delta-CWS-module) if every cofinite submodule of M has a weak delta-supplement in M. In this paper, we give various properties of this kind of modules. It is shown that a module M is delta-CWS- module if and only if every maximal submodule has a weak delta-supplement in M. The class of cofinitely weak delta-supplemented modules are closed under taking homomorphic images, arbitrary sums and short exact sequences. Also we give some conditions equivalent to being a delta-CWS- module for a delta-coatomic module.
Details
- ISSN :
- 17872413 and 17872405
- Volume :
- 18
- Database :
- OpenAIRE
- Journal :
- Miskolc Mathematical Notes
- Accession number :
- edsair.doi.dedup.....0b46d86f891fa0c5f07bd2ea306af23d