Meet-irreducible submaximal clones determined by nontrivial equivalence relations (Q382339)

Let \(A\) be a finite set and \(\theta\) a non-trivial equivalence relation on \(A\). It is well known that then Pol\(\theta\) is a maximal clone. In the present paper all binary relations \(\rho\) on \(A\) are determined such that Pol\(\rho\) is a meet-irreducible maximal subclone of Pol\(\theta\).