Clones with finitely many relative R-classes

Mathematics – Rings and Algebras

Scientific paper

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41 pages; proofs improved, examples added

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 iff each one
is a substitution instance of the other using operations from C. We study the
clones for which there are only finitely many relative R-classes.

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