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arXiv · 1503.08487

Finite generation of congruence preserving functions

Erhard Aichinger·Marijana Lazić·Nebojša Mudrinski
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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.

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Erhard Aichinger, Marijana Lazić, Nebojša Mudrinski. 2015-11-14. Finite generation of congruence preserving functions. https://doi.org/10.1007/s00605-015-0833-5

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