Abstract
Dening an (n + 1)-ary superposition operation S n on the set W (Xn) of all n-ary terms of type , one obtains an algebra n clone := (W (Xn); S n , x1, . . . , xn) of type (n + 1, 0, . . . , 0). The algebra n clone is free in the variety of all Menger algebras ([9]). Using the operation S n there are dieren t possibilities to dene binary associative operations on the set W (Xn) and on the cartesian power W (Xn) n . In this paper we study idempotent and regular elements as well as Green’s relations in semigroups of terms with these binary associative operations as fundamental operations.
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