Congruence lattices that force nilpotence

Description

It is well known that an algebra with permuting congruences and M3 as its congruence lattice is abelian. We present a condition on the congruence lattice that forces a finite algebra with a Mal’cev term to be nilpotent. For expanded groups, we prove that if this condition fails, then the algebra has a non-nilpotent expansion with the same congruence lattice. Another condition on the congruence lattice tells when the expansion of the algebra with all its congruence preserving functions is supernilpotent.

Period	02 Feb 2013
Event title	85th Workshop on General Algebra
Event type	Conference
Location	LuxembourgShow on map