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Fuzzy Spectral Spaces and Fuzzy Congruences of a Heyting ADL

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  • Yeshiwas Mebrat Gubena
  • Teferi Getachew Alemayehu
  • Tareq Al-shami

Abstract

In this paper, the space Fp of fuzzy prime ideals of Heyting almost distributive lattice H is studied, and it is shown that the collection of all sets Mη is a topology on Fp, where η is a fuzzy ideal on H and Mη=θ∈Fp|η⊈θ. The only compact subset of the space Fp is given. A fuzzy congruence relation Θ on H is defined, and the homomorphism between the set of all fuzzy ideals of H and the set of all fuzzy ideals of H/Θ is established. Furthermore, we established an isomorphism between fuzzy spectrum of H and fuzzy spectrum of H/Θ.

Suggested Citation

  • Yeshiwas Mebrat Gubena & Teferi Getachew Alemayehu & Tareq Al-shami, 2023. "Fuzzy Spectral Spaces and Fuzzy Congruences of a Heyting ADL," Journal of Mathematics, Hindawi, vol. 2023, pages 1-12, January.
    • Handle: RePEc:hin:jjmath:4926900
    DOI: 10.1155/2023/4926900
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