Volume no :11, Issue no: 1, March (2014)

CLOSED WEAK GENERALIZED SUPPLEMENTED MODULES

Author's: Y. Talebi, T. Amouzegar and A. Mahmoudi
Pages: [33] - [47]
Received Date: January 20, 2014
Submitted by:

Abstract

A module M is called closed weak generalized supplemented if for every closed submodule N of M, there exists a submodule K of M such that and We prove that for a distributive module is closed weak generalized supplemented, if and only if and are closed weak generalized supplemented. We characterize nonsingular V-rings in which all nonsingular modules are closed weak generalized supplemented.

Keywords

closed submodule, closed weak generalized supplemented module, singular module.