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...

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Bibliographic Details
Published in:arXiv.org 2015-11
Main Authors: Aichinger, Erhard, Lazić, Marijana, Mudrinski, Nebojša
Format: Article
Language:English
Online Access:Get full text
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Summary: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:2331-8422
DOI:10.48550/arxiv.1503.08487