Congruences of Multialgebras
R. Ameri and I. G. Rosenberg
The purpose of this paper is the study of congruence and strong congruence of multialgebras. In this regard first we introduce the notion of compatibility and strong compatibility in multialgebras and then we study congruences on multialgebras as a generalization of congruences in ordinary algebras. We investigate some of the important properties of lattices of congruences and strong congruences of multialgebras.
Keywords: Multialgebra, factor multialgebra, compatible relation, strongly compatible relation, congruence, strong congruence, homomorphism.
AMS Mathematics Subject Classification (2000): 20N20, 20N25