International Journal of Mathematics and Mathematical Sciences (Jan 2023)

The Fuzzy Prime Spectrum of Partially Ordered Sets

  • Derso Abeje Engidaw,
  • Gezahagne Mulat Addis,
  • Wondwosen Zemene Norahun,
  • Dereje Kifle Boku,
  • Habtu Bayafers Demrew,
  • Tewodros Argachew Degefa

DOI
https://doi.org/10.1155/2023/4526348
Journal volume & issue
Vol. 2023

Abstract

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We study the space of prime fuzzy ideals (and the space of maximal fuzzy ideals as a subspace) equipped with the hull-kernel topology in partially ordered sets. Mainly, we investigate the conditions for which the fuzzy prime spectrum of a poset is compact, Hausdorff, and normal, respectively.