"Uniform Mal'cev algebras with small congruence lattics"
, in Algebra Universalis, Nummer 72, Seite(n) 57 - 69, 5-2014, ISSN: 0002-5240
Uniform Mal'cev algebras with small congruence lattics
Sprache des Titels:
A congruence of an algebra is called uniform if all the congruence classes are of the same size. An algebra is called uniform if each of its congruences is uniform. All algebras with a group reduct have this property. We prove that almost every finite uniform Mal'cev algebra with a congruence lattice of height at most two is polynomially equivalent to an expanded group.