@article{Denecke1997,
  author    = {Denecke, Klaus-Dieter},
  title     = {Clones and Hyperidentities},
  year      = {1997},
  language  = {en}
}
@book{DeneckeTodorov1996,
  author    = {Denecke, Klaus-Dieter and Todorov, Kalco},
  title     = {Allgemeine Algebra und Anwendungen},
  publisher = {Shaker},
  address   = {Aachen},
  pages     = {251 S.},
  year      = {1996},
  language  = {de}
}
@book{Denecke1996,
  author    = {Denecke, Klaus-Dieter},
  title     = {Clones and hyperidentities},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik},
  volume    = {1996, 14},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik},
  publisher = {Univ.},
  address   = {Potsdam},
  pages     = {33 Bl.},
  year      = {1996},
  language  = {en}
}
@article{Denecke2016,
  author    = {Denecke, Klaus-Dieter},
  title     = {The partial clone of linear terms},
  series = {Siberian Mathematical Journal},
  volume    = {57},
  journal   = {Siberian Mathematical Journal},
  publisher = {Pleiades Publ.},
  address   = {New York},
  issn      = {0037-4466},
  doi       = {10.1134/S0037446616040030},
  pages     = {589 -- 598},
  year      = {2016},
  abstract  = {Generalizing a linear expression over a vector space, we call a term of an arbitrary type tau linear if its every variable occurs only once. Instead of the usual superposition of terms and of the total many-sorted clone of all terms in the case of linear terms, we define the partial many-sorted superposition operation and the partial many-sorted clone that satisfies the superassociative law as weak identity. The extensions of linear hypersubstitutions are weak endomorphisms of this partial clone. For a variety V of one-sorted total algebras of type tau, we define the partial many-sorted linear clone of V as the partial quotient algebra of the partial many-sorted clone of all linear terms by the set of all linear identities of V. We prove then that weak identities of this clone correspond to linear hyperidentities of V.},
  language  = {en}
}
@article{DeneckeWismath2009,
  author    = {Denecke, Klaus-Dieter and Wismath, Shelly},
  title     = {The dimension of a variety and the kernel of a hypersubstitution},
  issn      = {0218-1967},
  doi       = {10.1142/S0218196709005342},
  year      = {2009},
  abstract  = {The dimension of a variety V of algebras of a given type was introduced by E. Graczynska and D. Schweigert in [7] as the cardinality of the set of all derived varieties of V which are properly contained in V. In this paper, we characterize all solid varieties of dimensions 0, 1, and 2; prove that the dimension of a variety of finite type is at most N-0; give an example of a variety which has infinite dimension; and show that for every n is an element of N there is a variety with dimension n. Finally, we show that the dimension of a variety is related to the concept of the semantical kernel of a hypersubstitution and apply this connection to calculate the dimension of the class of all algebras of type tau = (n).},
  language  = {en}
}
@article{DeneckeSaengsura2009,
  author    = {Denecke, Klaus-Dieter and Saengsura, Kittisak},
  title     = {Separation of clones of cooperations by cohyperidentities},
  issn      = {0012-365X},
  doi       = {10.1016/j.disc.2008.01.043},
  year      = {2009},
  abstract  = {An n-ary cooperation is a mapping from a nonempty set A to the nth copower of A. A clone of cooperations is a set of cooperations which is closed under superposition and contains all injections. Coalgebras are pairs consisting of a set and a set of cooperations defined on this set. We define terms for coalgebras, coidentities and cohyperidentities. These concepts will be applied to give a new solution of the completeness problem for clones of cooperations defined on a two-element set and to separate clones of cooperations by coidentities.},
  language  = {en}
}
@article{Denecke1991,
  author    = {Denecke, Klaus-Dieter},
  title     = {Congruences on maximal partial clones and strong regular varieties generated by preprimal partial algebras II},
  year      = {1991},
  language  = {en}
}
@book{DeneckeWismath2009,
  author    = {Denecke, Klaus-Dieter and Wismath, Shelly L.},
  title     = {Universal Algebra and Coalgebra},
  publisher = {World Scientific Publ. Co},
  address   = {Singapore},
  isbn      = {978-981-283745-5},
  pages     = {278 S.},
  year      = {2009},
  language  = {en}
}
@article{Denecke1991,
  author    = {Denecke, Klaus-Dieter},
  title     = {Strong regular varieties of partial algebras I},
  year      = {1991},
  language  = {en}
}
@article{Denecke1991,
  author    = {Denecke, Klaus-Dieter},
  title     = {Minimal algebras and category equivalences},
  year      = {1991},
  language  = {en}
}