Multialgebras, universal algebras and identities

J. Aust. Math. Soc. 81 (2006), 121-139

Multialgebras, universal algebras and identities

Cosmin Pelea
``Babes-Bolyai'' University
Faculty of Mathematics and Computer Science
Cluj-Napoca
Romania
cpelea@math.ubbcluj.ro

and

Ioan Purdea
``Babes-Bolyai'' University
Faculty of Mathematics and Computer Science
Cluj-Napoca
Romania
purdea@math.ubbcluj.ro

Abstract

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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Australian Mathematical Publishing Association Inc.