The submaximal clones on the three-element set with finitely many relative R-classes
Rings and Algebras
2016-11-22 v1
Abstract
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.
Keywords
Cite
@article{arxiv.0905.1614,
title = {The submaximal clones on the three-element set with finitely many relative R-classes},
author = {Erkko Lehtonen and Agnes Szendrei},
journal= {arXiv preprint arXiv:0905.1614},
year = {2016}
}
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17 pages