@article{DeneckeMruczek2000, author = {Denecke, Klaus-Dieter and Mruczek, Krysztyna}, title = {P-compatible Hypersubstitutions}, year = {2000}, language = {en} } @book{DeneckeWismath2000, author = {Denecke, Klaus-Dieter and Wismath, Shelly}, title = {Hyperidentities and clones}, series = {Algebra, logic and aplications}, volume = {14}, journal = {Algebra, logic and aplications}, publisher = {Gordon \& Breach}, address = {Amsterdam}, isbn = {90-5699-235-X}, pages = {XI, 314 S. : graph. Darst.}, year = {2000}, abstract = {The theory of hyperidentities generalises the equational theory of universal algebras and is applicable in several fields of science, especially in computer sciences. This book presents the theory of hyperidentities and its relation to clone identities. The basic concept of hypersubstitution is used to introduce the monoid of hypersubstitutions, hyperidentities, M-hyperidentities, solid and M-solid varieties. This work integrates into a coherent framework many results scattered throughout the literature over the last eighteen years. In addition, the book contains some applications of hyperidentities to the functional completenes problem in multiple-valued logic. The general theory is also extended to partial algberas. The last chapter contains a list of exercises and open problems with suggestions of future work in this area of research.}, language = {en} } @article{Denecke2000, author = {Denecke, Klaus-Dieter}, title = {Solid polynomial varieties of semigroups which are definable by identities}, isbn = {3-85366-951-4}, year = {2000}, language = {en} } @article{DeneckeKoppitz2000, author = {Denecke, Klaus-Dieter and Koppitz, J{\"o}rg}, title = {Essential variables in weak hypersubstitutions}, isbn = {3-8265- 7983-6}, year = {2000}, language = {en} } @article{Denecke2000, author = {Denecke, Klaus-Dieter}, title = {Generalized hypersubstitutions and strongly solid varieties}, isbn = {3-8265- 7983-6}, year = {2000}, language = {en} } @book{OPUS4-19362, title = {General algebra and applications : proceedings of the 59th Workshop on General Algebra ; 15th Conference for Young Algebraists, Potsdam 2000}, series = {Berichte aus der Mathematik}, journal = {Berichte aus der Mathematik}, editor = {Denecke, Klaus-Dieter and Vogel, Hans-J{\"u}rgen}, publisher = {Shaker}, address = {Aachen}, isbn = {3-8265-7983-6}, pages = {VI, 202 S. : graph. Darst.}, year = {2000}, language = {en} } @article{Denecke2000, author = {Denecke, Klaus-Dieter}, title = {P-compatible hypersubstitutions and M_P -solid varieties}, year = {2000}, language = {en} } @article{DeneckeMahdavi2000, author = {Denecke, Klaus-Dieter and Mahdavi, Kazem}, title = {The order of normal form hypersubstitutions of type 2}, year = {2000}, language = {en} } @article{Denecke2000, author = {Denecke, Klaus-Dieter}, title = {Fluid, unsolid, and completely unsolid varieties}, year = {2000}, language = {en} } @article{DeneckeArworn2000, author = {Denecke, Klaus-Dieter and Arworn, Srichan}, title = {Intervals defined by M-solid varieties}, isbn = {3-8265- 7983-6}, year = {2000}, language = {en} }