The submaximal clones on the three-element set with finitely many relative R-classes

Reference : The submaximal clones on the three-element set with finitely many relative R-classes


	Document type :	Scientific journals : Article
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/3231

Title :	The submaximal clones on the three-element set with finitely many relative R-classes
Language :	English
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]
Publication date :	2010
Journal title :	Discussiones Mathematicae. General Algebra and Applications
Publisher :	Institute of Mathematics - University of Zielona Góra
	Institute of Mathematics - University of Zielona Góra
Volume :	30
Issue/season :	1
Pages :	7-33
Peer reviewed :	Yes (verified by ORBi^lu)
Audience :	International
ISSN :	1509-9415
e-ISSN :	2084-0373
City :	Zielona Góra
Country :	Poland
Keywords :	[en] 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.
Permalink :	http://hdl.handle.net/10993/3231
Other URL :	http://www.discuss.wmie.uz.zgora.pl/al/

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