On traces of maximal clones

Dragan Mašulović, Maja Pech

In this paper we study the partially ordered set of endomorphism monoids of Rosenberg relations, which are used to characterize maximal clones on a finite set. The problem naturally splits into 49 cases of interrelationships of endomorphism monoids of Rosenberg relations. In order to make the paper self-contained, in addition to new results, we survey some previously published partial results providing therefore the complete solution to all but five cases.