Abstract
In this article, we introduce and analyze a binary relation δ n on a hypergroup, which generalizes two important equivalence relations, denoted by β and γ. These two equivalence relations are important since the quotient structure is a group and an abelian group respectively. Moreover, we introduce and study the notion of a multisemi-direct hyperproduct of hypergroups, in terms of δ n*-equivalence classes.
2000 Mathematics Subject Classification:
Notes
Communicated by V. A. Artamonov.