Strongly primary submodules

الملخص EN

Let M be an R-module.

where R is an integral domain with quotient field K .In this paper we introduce the concept of strongly primary submodule, where a submodule N of M is called strongly primary .

if whenever r e K , x € M .

rx eN implies xeN or r”e(N:M) for some ne/.

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We study this concept and give some of its properties.