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

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

2009-05-11

arxiv.org/abs/0905.1614v1

Mathematics

Rings and Algebras

17 pages

Scientific paper

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.

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