@phdthesis{ArwornDenecke1999, author = {Arworn, Srichan and Denecke, Klaus-Dieter}, title = {Sets of hypersubstitutions and set-solid varieties}, year = {1999}, language = {en} } @article{ArwornDenecke1999, author = {Arworn, Srichan and Denecke, Klaus-Dieter}, title = {Left-edges solid varieties of differential groupoids}, year = {1999}, language = {en} } @article{ArwornDenecke1997, author = {Arworn, Srichan and Denecke, Klaus-Dieter}, title = {Groupoids of hypersubstitutions and G-solid varieties}, year = {1997}, language = {en} } @article{ArwornDenecke1997, author = {Arworn, Srichan and Denecke, Klaus-Dieter}, title = {A new methods to study subvariety lattices of semigroup varieties}, year = {1997}, language = {en} } @article{ArwornDenecke2001, author = {Arworn, Srichan and Denecke, Klaus-Dieter}, title = {Tree Transformations defined by Hypersubstitutions}, issn = {1509 - 9415}, year = {2001}, language = {en} } @article{ArwornDenecke2002, author = {Arworn, Srichan and Denecke, Klaus-Dieter}, title = {Intervals and complete congruences defined by M-solid varieties}, year = {2002}, language = {en} } @article{ArwornDeneckeKoppitz2001, author = {Arworn, Srichan and Denecke, Klaus-Dieter and Koppitz, J{\"o}rg}, title = {Strongly luid and weakly unsolid varieties}, issn = {1346-0862}, year = {2001}, language = {en} } @book{ArwornDeneckePoeschel1998, author = {Arworn, Srichan and Denecke, Klaus-Dieter and P{\"o}schel, Reinhard}, title = {Closure operators on complete lattices}, series = {Preprint MATH-ALG / Technische Universit{\"a}t Dresden}, volume = {1998, 05}, journal = {Preprint MATH-ALG / Technische Universit{\"a}t Dresden}, publisher = {Techn. Univ.}, address = {Dresden}, year = {1998}, language = {en} } @article{ChajadaDeneckeHalas1999, author = {Chajada, I. and Denecke, Klaus-Dieter and Halas, R.}, title = {Algebras induced by hypersubstitutions}, year = {1999}, language = {en} } @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} }