Types of polynomial completeness of expanded groups

. The polynomial functions of an algebra preserve all congruence relations. In addition, if the algebra is finite, they preserve the labelling of the congruence lattice in the sense of Tame Congruence Theory. The question is for which algebras every congruence preserving function, or at least every...

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Bibliographic Details
Published in:Algebra universalis 2009-04, Vol.60 (3), p.309-343
Main Authors: Aichinger, Erhard, Mudrinski, Nebojša
Format: Article
Language:English
Subjects:
Algebra
Mathematics
Mathematics and Statistics
Citations: Items that cite this one
Online Access:Get full text
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Summary:. The polynomial functions of an algebra preserve all congruence relations. In addition, if the algebra is finite, they preserve the labelling of the congruence lattice in the sense of Tame Congruence Theory. The question is for which algebras every congruence preserving function, or at least every function that preserves the labelling of the congruence lattice, is a polynomial function. In this paper, we investigate this question for finite algebras that have a group reduct.
ISSN:0002-5240
1420-8911
DOI:10.1007/s00012-009-2136-y