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The Spectral Space of H‐Fuzzy Prime Ideals in Distributive Join‐Semilattices

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  • Mohammed Amare Mohammed
  • Berehanu Bekele Belayneh
  • Zelalem Teshome Wale
  • Gezahagne Mulat Addis

Abstract

The essential characteristics of H‐fuzzy prime ideals and H‐fuzzy maximal ideals within distributive join‐semilattices are introduced and examined in this work. We present a number of characterization theorems and prove findings related to the prime ideal theorem. We show that every H‐fuzzy prime ideal (or H‐fuzzy maximal ideal) has exactly two values: 1 and a prime element (or dual atom, respectively). The topological structure of the set of H‐fuzzy prime ideals in distributive join‐semilattices is also investigated.

Suggested Citation

  • Mohammed Amare Mohammed & Berehanu Bekele Belayneh & Zelalem Teshome Wale & Gezahagne Mulat Addis, 2025. "The Spectral Space of H‐Fuzzy Prime Ideals in Distributive Join‐Semilattices," Journal of Applied Mathematics, John Wiley & Sons, vol. 2025(1).
    • Handle: RePEc:wly:jnljam:v:2025:y:2025:i:1:n:5182947
    DOI: 10.1155/jama/5182947
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    References listed on IDEAS

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    1. Derso Abeje Engidaw & Gezahagne Mulat Addis & Wondwosen Zemene Norahun & Dereje Kifle Boku & Habtu Bayafers Demrew & Tewodros Argachew Degefa & Fernando Bobillo, 2023. "The Fuzzy Prime Spectrum of Partially Ordered Sets," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2023, pages 1-11, December.
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