I-prime fuzzy submodules

Abstract

In this paper, we introduce a new generalization of prime F.S.M (P.F.S), called I- prime F.S.M and I be any ideal of a commutative ring R also, we study some properties of it and giving some characterizations of I-P.F.S. We establish the situation of I-P.F.Ss in F.M of the R-module and, we show that I-P.F.S and P.F.S are coincident under certain conditions.