Semi local hollow modules

Document Type : Research Paper

Authors

1 Department of Mathematics, College of Education for pure science, Tikrit university, Tikrit, Iraq

2 Department of Mathematics, College of Education for women, Tikrit university, Tikrit, Iraq

Abstract

To consider \(R\) is a commutative ring with unitary, \(X\) be a non--Zero unity left \(R - module\); \(X\) is known hollow module if each proper sub module of \(X\) is semi small local hollow module if \(X\) has a unique maximal submodule which contains each semi small submodule. The current study deals with this class of modules and give several fundamental properties related with this concept.

Keywords