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congruence_uniform [2010/08/20 20:16] (current)
jipsen created
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 +=====Congruence uniformity=====
 +
 +An algebra is \emph{congruence uniform} if for all congruence relations $\theta$ of the algebra it holds that
 +all congruence classes of $\theta$ have the same cardinality.
 +
 +A class of algebras is \emph{congruence uniform} if each of its members is congruence uniform.
 +
 +Congruence uniformity holds for many 'classical' varieties such as groups, rings and vector spaces.
 +
 +This property can be characterized by a Mal'cev condition ...