Green's relations on the seminearring of full hypersubstitutions of type $(n)$

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 $(n)$.