Congruence lattices that force nilpotence

Beschreibung

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.

Zeitraum	02 Feb. 2013
Ereignistitel	85th Workshop on General Algebra
Veranstaltungstyp	Konferenz
Ort	LuxemburgAuf Karte anzeigen