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

Year 2022, Volume: 14 Issue: 1, 32 - 43, 30.06.2022

Serkan Onar

https://doi.org/10.47000/tjmcs.907088

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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