Green's relations on ternary semihypergroups and crossed hyperproduct of hypergroups


OĞUZ ÜNAL S.

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, vol.14, no.7, 2021 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 14 Issue: 7
  • Publication Date: 2021
  • Doi Number: 10.1142/s1793557121501199
  • Journal Name: ASIAN-EUROPEAN JOURNAL OF MATHEMATICS
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
  • Keywords: Hypergroups, ternary hyperoperation, Green's relations, crossed product, PRODUCT, TRANSFORMATIONS, SEMIGROUPS, ORDER
  • Sivas Cumhuriyet University Affiliated: Yes

Abstract

In this paper, we introduce all Green's relations on the ternary semihypergroup and study some properties of these equivalence relations in view of those obtained in binary and ternary semigroups. We also define crossed hyperproduct of two hypergroups.