Finite generation of congruence preserving functions

Finite generation of congruence preserving functions

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 e...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Monatshefte für Mathematik 2016-09, Vol.181 (1), p.35-62
Hauptverfasser: Aichinger, Erhard, Lazić, Marijana, Mudrinski, Nebojša
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung: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.
ISSN:0026-9255
1436-5081
DOI:10.1007/s00605-015-0833-5