Finite generation of congruence preserving functions
Rings and Algebras
2019-09-04 v2
Abstract
We investigate when the clone of congruence preserving functions is finitely generated. We obtain a full description for all finite -groups, and for all finite algebras with Mal'cev term and simple congruence lattice. The characterization for -groups allows a generalization to a large class of expansions of groups.
Keywords
Cite
@article{arxiv.1503.08487,
title = {Finite generation of congruence preserving functions},
author = {Erhard Aichinger and Marijana Lazić and Nebojša Mudrinski},
journal= {arXiv preprint arXiv:1503.08487},
year = {2019}
}
Comments
accepted for publication in "Monatshefte f\"ur Mathematik". The final publication is available at Springer via http://dx.doi.org/10.1007/s00605-015-0833-5