Quasi-Radical Semiprime Submodules
Keywords:Semi prime submodule, Quasi-semi prime submodule, Radical semi prime submodule, Quasi- radical semi prime submodule
In this paper, we introduce the concept of a quasi-radical semi prime submodule. Throughout this work, we assume that is a commutative ring with identity and is a left unitary R- module. A proper submodule of is called a quasi-radical semi prime submodule (for short Q-rad-semiprime), if for , ,and then . Where is the intersection of all prime submodules of .