TY  - JOUR
A1  - Changphas, Thawhat
A1  - Denecke, Klaus-Dieter
T1  - Green's relation R on the monoid of clone endomorphisms
N2  - 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
Y1  - 2005
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/13551
SN  - 1005-3867
ER  -