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

Section

Functional Analysis