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arxiv: 0905.1611 · v3 · pith:2QBGK56Rnew · submitted 2009-05-11 · 🧮 math.RA

Clones with finitely many relative R-classes

classification 🧮 math.RA
keywords clonesfinitelymanyoperationsr-classesrelativethereanalogous
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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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