Finite generation of congruence preserving functions

Abstract

We investigate when the clone of congruence preserving functions is finitely generated. We obtain a full description for all finite $p$-groups, and for all finite algebras with Mal'cev term and simple congruence lattice. The characterization for $p$-groups allows a generalization to a large class of expansions of groups.

accepted for publication in "Monatshefte für Mathematik". The final publication is available at Springer via http://dx.doi.org/10.1007/s00605-015-0833-5

Cited by in corpus (2)

• Congruence lattices forcing nilpotency
• Congruence preserving expansions of nilpotent algebras