On Fuzzy 2-absorbing Γ-ideals in Γ-rings

Authors : Serkan ONAR

Pages : 32-43

Doi:10.47000/tjmcs.907088

View : 41 | Download : 13

Publication Date : 2022-06-30

Article Type : Research Paper

Abstract :The goal of this paper is to give a definition of a generalization of fuzzy prime $\Gamma $-ideals in $\Gamma $-rings by introducing fuzzy 2-absorbing $\Gamma $-ideals and fuzzy weakly completely 2-absorbing $\Gamma $-ideals of commutative $\Gamma $-rings and to give their properties. Furthermore, we give a diagram which transition between definitions of fuzzy 2-absorbing $\Gamma $-ideals of a $\Gamma $-ring. Finally, we introduce fuzzy quotient $\Gamma $-ring of $R$ induced by the fuzzy weakly completely 2-absorbing $\Gamma $-ideal is a $2$-absorbing $\Gamma $-ring.
Keywords : 2 absorbing, fuzzy 2 absorbing ideal, fuzzy 2 absorbing Γ ideal, fuzzy weakly completely 2 absorbing Γ ideal, fuzzy K 2 absorbing Γ ideal

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