- Turkish Journal of Mathematics and Computer Science
- Vol: 14 Issue: 1
- On Fuzzy 2-absorbing Γ-ideals in Γ-rings
On Fuzzy 2-absorbing Γ-ideals in Γ-rings
Authors : Serkan ONAR
Pages : 32-43
Doi:10.47000/tjmcs.907088
View : 6 | Download : 2
Publication Date : 2022-06-30
Article Type : Research
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