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Multialgebras, universal algebras and identities

Part of: Algebraic structures Other generalizations of groups

Published online by Cambridge University Press:  09 April 2009

Cosmin Pelea  and
Ioan Purdea
Cosmin Pelea
Affiliation:
“Babeş-Bolyai” University, Faculty of Mathematics and Computer Science, Cluj-Napoca, Romania, e-mail: cpelea@math.ubbcluj.ro, purdea@math.ubbcluj.ro
Ioan Purdea
Affiliation:
“Babeş-Bolyai” University, Faculty of Mathematics and Computer Science, Cluj-Napoca, Romania, e-mail: cpelea@math.ubbcluj.ro, purdea@math.ubbcluj.ro
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Abstract

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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.

Keywords

polynomial functionfactor multialgebraidentityhypergroupderived subhypergroup.

MSC classification

Secondary: 08A99: None of the above, but in this section 08A30: Subalgebras, congruence relations 20N20: Hypergroups
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 81 , Issue 1 , August 2006 , pp. 121 - 140
Copyright
Copyright © Australian Mathematical Society 2006

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