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Multialgebras, universal algebras and identities

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AUSTRALIAN MATHEMATICS PUBL ASSOC INC
DOI: 10.1017/S1446788700014671

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polynomial function; factor multialgebra; identity; hypergroup; derived subhypergroup.

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In this paper we determine the smallest equivalence relation on a multialgebra for which the factor multialgebra is a universal algebra satisfying a given identity. We also establish an important property for the factor multialgebra (of a multialgebra) modulo this relation.

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