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
SN  - 1005-3867
ER  - 
TY  - JOUR
A1  - Changphas, Thawhat
A1  - Denecke, Klaus-Dieter
T1  - Green's Relations on the Seminearring of Full Hypersubstitutions of Type (n)
Y1  - 2003
ER  - 
TY  - JOUR
A1  - Changphas, Thawhat
A1  - Denecke, Klaus-Dieter
T1  - Complexity of Hypersubstitutions and Lattices of Varieties
Y1  - 2003
ER  - 
TY  - JOUR
A1  - Denecke, Klaus-Dieter
A1  - Changphas, Thawhat
T1  - Full hypersubstitutions and fully solid varieties of semigroups
Y1  - 2003
ER  - 
TY  - THES
A1  - Changphas, Thawhat
T1  - Monoids of Hypersubstitutions
Y1  - 2004
CY  - Potsdam
ER  - 
TY  - JOUR
A1  - Changphas, Thawhat
T1  - The order of hypersubstitutions of type tau = (3)
N2  - Hypersubstitutions were introduced in [3] as a way of making precise the concepts of hyperidentity and M- hyperidentity. The monoid of hypersubstitutions has been widely studied by many authors. Knowledge of the monoid of hypersubstitutions can be applied to the concept of M-hyperidentities. In this paper, we show that the order of hypersubstitutions of type tau = (3) is 1, 2, 3 or infinite
Y1  - 2006
UR  - http://ejournals.wspc.com.sg/ac/13/1302/S1005386706000277.html
SN  - 1005-3867
ER  -