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Dergiler / 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
Sayfa
449–465
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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.
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Temel Bulgular & Veri: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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Sonuç & Katkı:Finally, the cartesian prod- uct of corresponding fuzzy h-ideals is defined and a characterization is obtained.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

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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Bu Makaleye Atıf Yap

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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