On the Left and Right Almost Hyperideals of LA-Semihypergroups

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Nawaz S., Gulistan M., KAUSAR N., Salahuddin S., Munir M.

International Journal of Fuzzy Logic and Intelligent Systems, vol.21, no.1, pp.86-92, 2021 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 21 Issue: 1
  • Publication Date: 2021
  • Doi Number: 10.5391/ijfis.2021.21.1.86
  • Journal Name: International Journal of Fuzzy Logic and Intelligent Systems
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
  • Page Numbers: pp.86-92
  • Keywords: Almost hyperideals, LA-semihypergroups, Left almost hyperideals, Minimal almost hyperideals, Right almost hyperideals
  • Yıldız Technical University Affiliated: No

Abstract

In this paper, we define left almost hyperideals, right almost hyperideals, almost hyperideals, and minimal almost hyperideals. We demonstrate that the intersection of almost hyperideals is not required to be an almost hyperideal, but the union of almost hyperideals is an almost hyperideal, which is completely different from the classical algebraic concept of the ideal theory.