Green’s relations on the seminearring of full hypersubstitutions of type (\(n)\)

Abstract

Hypersubstitutions are mappings which are used to define hyperidentities and solid varieties. In this paper we will show that the set of all hypersubstitutions of a given type forms a seminearring. We will give a full characterization of Green’s relation \(\mathcal{R}\) on a sub-seminearring of the seminearring \(Hyp(n)\) of all hypersubstitutions of type \((n)\).