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Journals / Turkish Journal of Mathematics and Computer Science / 2026 / Volume: 14 Issue: 1

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

Serkan Onar(Yildiz Technical University)0000-0003-3084-7694
Pages
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Publication Date
2022-06-30
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⚡ TL;DR(Too Long; Didn't Read)

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.

📌 3 Key Takeaways

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Objective & Hypothesis: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.
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Key Findings & Data:Furthermore, we give a diagram which transition between definitions of fuzzy 2-absorbing $\Gamma $-ideals of a $\Gamma $-ring.
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Conclusion & Impact: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.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:2-absorbing · fuzzy 2-absorbing ideal · fuzzy 2-absorbing Γ-ideal

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.

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Cite This Article

Onar, S. (2022). On Fuzzy 2-absorbing Γ-ideals in Γ-rings. Turkish Journal of Mathematics and Computer Science, Volume: 14 Issue: 1. https://doi.org/10.47000/tjmcs.907088

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