Mal'cev conditions from graphs for congruences and tolerances

2007/03/03 by Paolo Lipparini, Lipparini, Paolo
Mathematics · #08A30 #08B05 #FOS: Mathematics #Rings and Algebras (math.RA) #math.RA #msc:08A30 #msc:08B05

paper · pdf · doi:10.48550/arxiv.math/0703089

5 pages

arxiv created 2007/03/03 · arxiv updated 2009/12/01

Abstract

In a previous paper (From congruence identities to tolerance identities, in print on Acta Sci. Math. Szeged) we showed that, under certain conditions, a variety satisfies a given congruence identity if and only if it satisfies the same tolerance identity. Moreover, we mentioned that a parallel result holds for Mal'cev conditions arising from graphs. In the present note we give detailed definitions and state these more general results.

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