FUZZY RADICALS OF Γ-SEMIRINGS

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Sarbani Goswami
Sujit Kumar Sardar

Abstract

 In this paper we introduce the notions of fuzzy prime radical and fuzzy
 nil radical of a fuzzy ideal in Γ−semiring and obtain some characteriza
tions of these radicals. We also introduce the notion of Fuzzy primary
 ideal of a Γ−semiring and study it using fuzzy prime radical. Among
 other results we prove that in a commutative Γ−semiring, the concepts
 of fuzzy prime radical and fuzzy nil radical of a fuzzy ideal coincide.

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