A Generalization of ⊕-Supplemented Modules

Authors

  • Tayyebeh Amoozegar University of Mazandaran
  • Yahya Talebi University of Mazandaran

Keywords:

X--Supplemented modules, Completely X--Supplemented modules

Abstract

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.

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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

Vol. 5 No. 2: (April 2012)

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.