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Journals / Hacettepe Journal of Mathematics and Statistics / 2012 / Cilt: 41 - Sayı: 4

Correspondence between fuzzy h-ideals of a $Gamma$-hemiring and fuzzy h-ideals of its operator hemirings

Debabrata MANDAL
Pages
449–465
Publication Date
2022-10-18
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Finally, the cartesian prod- uct of corresponding fuzzy h-ideals is defined and a characterization is obtained.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper we define a correspondence between the set of all fuzzy h- ideals of a $Gamma$-hemiring S and the set of all fuzzy h-ideals of the operator hemirings of that $Gamma$-hemiring.
📊
Key Findings & Data:We deduce that the lattice of all fuzzy h- ideals of a $Gamma$-hemiring is isomorphic to the lattice of all fuzzy h-ideals of the operator hemirings of that $Gamma$-hemiring.
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Conclusion & Impact:Finally, the cartesian prod- uct of corresponding fuzzy h-ideals is defined and a characterization is obtained.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper we define a correspondence between the set of all fuzzy h- ideals of a $Gamma$-hemiring S and the set of all fuzzy h-ideals of the operator hemirings of that $Gamma$-hemiring. We deduce that the lattice of all fuzzy h- ideals of a $Gamma$-hemiring is isomorphic to the lattice of all fuzzy h-ideals of the operator hemirings of that $Gamma$-hemiring. Finally, the cartesian prod- uct of corresponding fuzzy h-ideals is defined and a characterization is obtained.

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Cite This Article

MANDAL, D. (2022). Correspondence between fuzzy h-ideals of a $Gamma$-hemiring and fuzzy h-ideals of its operator hemirings. Hacettepe Journal of Mathematics and Statistics, Cilt: 41 - Sayı: 4, 449–465. https://ajindex.com/articles/530507

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