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

Mohammed Amare Mohammed, Berehanu Bekele Belayneh, Zelalem Teshome Wale and Gezahagne Mulat Addis

Journal of Applied Mathematics, 2025, vol. 2025, 1-8

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.

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:5182947

DOI: 10.1155/jama/5182947

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