Local methods for Rosenberg relations
type: Item
instance of: scholarly article
title: Local methods for Rosenberg relations
zbMATH Open document ID: 1205.08001
author: Maja Pech
published in: Algebra Universalis
publication date: 2010-09-08T00:00:00Z
review text: For six kinds of so-called Rosenberg relations \(r\) on a finite set \(A\), e.g. equivalence relations, the author develops uniform decision procedures for the problem whether, given any other relation \(s\) on \(A\), every unary operation on \(A\) compatible with \(r\) (alias \(r\)-endomorphism) is also compatible with \(s\). The use of local methods à la \textit{M. Ponjavić} [in: I. Chajda et al. (eds.), Proceedings of the 68th workshop on general algebra ``68. Arbeitstagung Allgemeine Algebra'', Dresden, Germany, June 10--13, 2004 and of the summer school 2004 on general algebra and ordered sets, Malá Morávka, Czech Republic, September 5--11, 2004. Klagenfurt: Verlag Johannes Heyn. Contributions to General Algebra 16, 189--197 (2005; Zbl 1083.08002)], which are essential for the decision procedures, is also illustrated by the enumeration of all relations in the ternary part of the weak Krasner algebra of the three-element chain.
reviewed by: Manfred Armbrust
Mathematics Subject Classification ID: 08A40
Mathematics Subject Classification ID: 08A35
zbMATH DE Number: 5781187
zbMATH Keywords: Rosenberg relation
zbMATH Keywords: endomorphism monoid
zbMATH Keywords: local method
zbMATH Keywords: Krasner algebra
MaRDI profile type: Publication
full work available at URL: s00012-010-0065-4
OpenAlex ID: W1989786244
cites work: Completeness for concrete near-rings.
cites work: Monoid intervals in lattices of clones
cites work: Bestimmung der Ordnung Maximaler Klassen von Funktionen der k‐Wertigen Logik
cites work: Q3409919
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DOI: 10.1007/S00012-010-0065-4
description: scientific article; zbMATH DE number 5781187