Article (Scientific journals)
The submaximal clones on the three-element set with finitely many relative R-classes
Lehtonen, Erkko; Szendrei, Ágnes
2010In Discussiones Mathematicae. General Algebra and Applications, 30 (1), p. 7-33
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Keywords :
clone; maximal clone; submaximal clone; Green's relations
Abstract :
[en] For each clone C on a set A there is an associated equivalence relation analogous to Green's R-relation, which relates two operations on A if and only if each one is a substitution instance of the other using operations from C. We study the maximal and submaximal clones on a three-element set and determine which of them have only finitely many relative R-classes.
Disciplines :
Mathematics
Identifiers :
UNILU:UL-ARTICLE-2010-623
Author, co-author :
Lehtonen, Erkko ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Computer Science and Communications Research Unit (CSC)
Szendrei, Ágnes;  University of Colorado at Boulder, USA
Language :
English
Title :
The submaximal clones on the three-element set with finitely many relative R-classes
Publication date :
2010
Journal title :
Discussiones Mathematicae. General Algebra and Applications
ISSN :
2084-0373
Publisher :
Institute of Mathematics - University of Zielona Góra, Zielona Góra, Poland
Institute of Mathematics - University of Zielona Góra, Zielona Góra, Poland
Volume :
30
Issue :
1
Pages :
7-33
Peer reviewed :
Peer Reviewed verified by ORBi
Available on ORBilu :
since 02 July 2013

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