Multialgebras, universal algebras and identities. (English) Zbl 1109.08004
Equivalence relations on multialgebras (also called hyperstructures) for which factor multialgebras are universal algebras play an important role in the theory of multialgebras. The main result of the paper determines the smallest equivalence relation on a multialgebra such that the factor multialgebra is a universal algebra satisfying a given identity. An application to the theory of hypergroups is shown.
Reviewer: Jaromír Duda (Brno)
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