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The Fuzzy Prime Spectrum of Partially Ordered Sets

Author

Listed:
  • Derso Abeje Engidaw
  • Gezahagne Mulat Addis
  • Wondwosen Zemene Norahun
  • Dereje Kifle Boku
  • Habtu Bayafers Demrew
  • Tewodros Argachew Degefa
  • Fernando Bobillo

Abstract

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.

Suggested Citation

  • 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.
    • Handle: RePEc:hin:jijmms:4526348
    DOI: 10.1155/2023/4526348
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