Reference : The submaximal clones on the three-element set with finitely many relative R-classes
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/3231
The submaximal clones on the three-element set with finitely many relative R-classes
English
Lehtonen, Erkko mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Computer Science and Communications Research Unit (CSC) >]
Szendrei, Ágnes mailto [University of Colorado at Boulder, USA]
2010
Discussiones Mathematicae : General Algebra & Applications
Institute of Mathematics - University of Zielona Góra
30
1
7-33
Yes (verified by ORBilu)
International
1509-9415
Zielona Góra
Poland
[en] clone ; maximal clone ; submaximal clone ; Green's relations
[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.
http://hdl.handle.net/10993/3231
http://www.discuss.wmie.uz.zgora.pl/al/

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