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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, Hindawi, vol. 2025, pages 1-8, October.
    • Handle: RePEc:hin:jnljam:5182947
    DOI: 10.1155/jama/5182947
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