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

OĞUZ ÜNAL S.

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, cilt.14, sa.7, 2021 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Sayı: 7
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1142/s1793557121501199
  • Dergi Adı: ASIAN-EUROPEAN JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
  • Anahtar Kelimeler: Hypergroups, ternary hyperoperation, Green's relations, crossed product, PRODUCT, TRANSFORMATIONS, SEMIGROUPS, ORDER
  • Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

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.