@article{ChangphasDenecke2005,
  author    = {Changphas, Thawhat and Denecke, Klaus-Dieter},
  title     = {Green's relation R on the monoid of clone endomorphisms},
  issn      = {1005-3867},
  year      = {2005},
  abstract  = {A hypersubstitution is a map which takes n-ary operation symbols to n-ary terms. Any such map can be uniquely extended to a map defined on the set W-tau(X) of all terms of type tau, and any two such extensions can be composed in a natural way. Thus, the set Hyp(tau) of all hypersubstitutions of type tau forms a monoid. In this paper, we characterize Green's relation R on the monoid Hyp(tau) for the type tau = (n, n). In this case, the monoid of all hypersubstitutions is isomorphic with the monoid of all Clone endomorphisms. The results can be applied to mutually derived varieties},
  language  = {en}
}