2015/03/31 by Erhard Aichinger, Marijana Lazić, Nebojša Mudrinski
Computer Science · Mathematics · #Advanced Algebra and Logic #Algebra over a field #Congruence (geometry) #Finitely-generated abelian group #Generalization #Geometry #Lattice (music) #Mathematical analysis #Mathematics #Physics #Pure mathematics #Rough Sets and Fuzzy Logic #math.RA #msc:08A40 #semigroups and automata theory
paper · pdf · doi:10.1007/s00605-015-0833-5
published as Monatshefte f. Mathematik 181(1), 2016, 35-62 · accepted for publication in "Monatshefte für Mathematik". The final publication is available at Springer via http://dx.doi.org/10.1007/s00605-015-0833-5
arxiv created 2015/11/14 · openalex publication_date 2015/12/01 · arxiv updated 2019/09/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.