Clones with finitely many relative R-classes

Erkko Lehtonen, Ágnes Szendrei

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4 Scopus citations


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 clones for which there are only finitely many relative R-classes.

Original languageBritish English
Pages (from-to)109-159
Number of pages51
JournalAlgebra Universalis
Issue number2
StatePublished - Apr 2011


  • clone lattice
  • Green's R-relation
  • maximal clones


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