Semi-radicals of Sub modules in Modules

Abstract

Abstract: Let be a commutative ring and be a unitary module. We define a semiprime submodule of a module and consider various properties of it. Also we define semi-radical of a submodule of a module and give a number of its properties. We define modules which satisfy the semi-radical formula and present the existence of such a module.

Keywords

• Keywords : Prime sub module
• semiprime sub module
• radical and semi- radical of a module
• modules satisfying the semi-radical formula .