Semi- -maximal sumodules

Abstract

Let be a commutative ring with identity and be an -module. In this work,we present the concept of semi- -maximal sumodule as a generalization of -maximal submodule.We present that a submodule of an -module is a semi- -maximal (sortly - -max) submodule ifis a semisimple -module (where is a submodule of ).We investigate some properties of these kinds of modules.