Fuzzy semimaximal ideals

الملخص EN

Let R be a commutative ring with identity.

A proper ideal I of R is called semimaximal if I is a finite intersection of maximal ideals of R.

In this paper we fuzzify this concept to fuzzy ideals of R, where a fuzzy ideal A of R is called semimaximal if A is a finite intersection of fuzzy maximal ideals.

Various basic properties are given.

Moreover some examples are given to illus trate this concept.