R - مقاسات جزئية اولية من النمط
الكلمات المفتاحية:
Semiprime، sub-module، Prime sub-module، J-Semiprime sub-module، Prime ideal، Regular and multiplicationالملخص
Abstract. is a commutative ring with unity. is a sub-module of a non- zero left R-module , In this paper, first we define the notion of residual of a Sub-module in D which is an ideal in a ring and then we obtain some related results. In particular ,we state and prove some proposition. We need in this paper some concepts as multiplication module , prime sub-module and an injective envelope . Finally we will introduce a new concept “ prime sub-module “. In this paper concepts of prime sub-modules and some other notions will be studied, as well as the relationship between properties of prime sub-modules and other sub-modules . we will be studied image of prime sub-module . Also the relationship between the properties of prime sub-modules and other sub-modules.
