A Generalization of ⊕-Supplemented Modules
Keywords:
X--Supplemented modules, Completely X--Supplemented modulesAbstract
Let M and X be R-modules. We define the X--supplemented modules via the class  B(M,X) as a generalization of -supplemented modules. We show that any finite direct sum of X--supplemented modules is X--supplemented. It is given a number of necessary and sufficient conditions for every direct summand of an  X--supplemented module to be X--supplemented.
Downloads
Published
2012-05-14
How to Cite
Amoozegar, T., & Talebi, Y. (2012). A Generalization of ⊕-Supplemented Modules. European Journal of Pure and Applied Mathematics, 5(2), 108–115. Retrieved from https://www.ejpam.com/index.php/ejpam/article/view/1097
Issue
Section
Functional Analysis
License
Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.
European Journal of Pure and Applied Mathematics will be Copyright Holder.