Semi local hollow modules

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:

Semi small submodules , Local hollow modules , Semi local hollow module