Finitely generated clones of congruence preserving functions

Description

We investigate for which algebras the clone of congruence preserving functions is finitely generated. Finite abelian groups provide examples for both alternatives: for example, $\mathbb{Z}_{45}$ and $\mathbb{Z}_{27} \times \mathbb{Z}_{125} \times \mathbb{Z}_{125} \times \mathbb{Z}_5$ have a finitely generated clone of congruene preserving functions, whereas the clone of congruence preserving functions of $\mathbb{Z}_{125} \times \mathbb{Z}_5$ is not finitely generated. We will give a complete description for finite abelian groups and for finite $p$-groups. (Joint research with Marijana Lazi\'c and Neboj\v{s}a Mudrinski, Novi Sad)

Period	01 Mar 2015
Event title	AAA89 - 89. Arbeitstagung Allgemeine Algebra
Event type	Conference
Location	GermanyShow on map