MODULES HAVING (WEAK-S*) PROPERTY
DOI:
https://doi.org/10.24996/ijs.2010.51.2.%25gKeywords:
MODULES, HAVINGAbstract
Let R be a non zero ring with identity and let M be a non zero module over R. An
R-module M is called cosingular if Z*(M)=M where Z*(M)={m ∈ M, mR<<E(M)},
in this paper we introduce the concept that an R-module M is weak-cosingular if
Z*(M)≤e M. and we call that an R-module has (weak-S*)property if every submodule
N of M contains a direct summand K of M such that K≤N and N/K is weakcosingular.
And we study the properties of this kind of modules, and the relation
between this modules and other kind of modules.
Downloads
Downloads
Published
Issue
Section
License
Copyright (c) 2024 Iraqi Journal of Science
![Creative Commons License](http://i.creativecommons.org/l/by-nc/4.0/88x31.png)
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.