A generalization of cofinitely weak rad-supplemented modules
Abstract
We say that a module M is a closed cofinitely weak generalized supplemented module or briefly ccwgs-module if for every N ≤ cc M, N has a weak Rad-supplement in M. In this article, the various properties of ccwgs-modules are given as a proper generalization of cofinitely weak Rad-supplemented modules. We prove that every cofinite direct sum of a ccwgs-module is a ccwgs-module. In particular, we also prove that every ccwgs-module over a left Bass ring is a ccws-module. Finally, we show that the notion of cofinitely weak Rad-supplemented modules and the notion of ccwgs-modules are equivalent under some special conditions.
- Published
- 5 October 2016
- Volume
- 2016 (2016)
- License
- CC BY 3.0
Copyright © 2016 Burcu Nisanci Turkmen, Ergul Turkmen. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
B. N. Turkmen, E. Turkmen, A generalization of cofinitely weak rad-supplemented modules, Algebra Lett. 2016 (2016), 1.
BibTeX
@article{Turkmen2016,
author = {Turkmen, Burcu Nisanci and Turkmen, Ergul},
title = {A generalization of cofinitely weak rad-supplemented modules},
journal = {Algebra Lett.},
volume = {2016},
year = {2016},
pages = {1},
doi = {}
}