@article{DeneckeKoppitz1999, author = {Denecke, Klaus-Dieter and Koppitz, J{\"o}rg}, title = {A characterization of M-solid varieties of semigroups}, year = {1999}, language = {en} } @article{DimitrovaFernandesKoppitz2017, author = {Dimitrova, Ilinka and Fernandes, Vitor H. and Koppitz, J{\"o}rg}, title = {A note on generators of the endomorphism semigroup of an infinite countable chain}, series = {Journal of Algebra and its Applications}, volume = {16}, journal = {Journal of Algebra and its Applications}, number = {2}, publisher = {World Scientific}, address = {Singapore}, issn = {0219-4988}, doi = {10.1142/S0219498817500311}, pages = {9}, year = {2017}, abstract = {In this note, we consider the semigroup O(X) of all order endomorphisms of an infinite chain X and the subset J of O(X) of all transformations alpha such that vertical bar Im(alpha)vertical bar = vertical bar X vertical bar. For an infinite countable chain X, we give a necessary and sufficient condition on X for O(X) = < J > to hold. We also present a sufficient condition on X for O(X) = < J > to hold, for an arbitrary infinite chain X.}, language = {en} } @article{Koppitz2000, author = {Koppitz, J{\"o}rg}, title = {All 2-solid varieties of semigroups}, year = {2000}, language = {en} } @article{Koppitz2009, author = {Koppitz, J{\"o}rg}, title = {All Reg-solid varieties of commutative semigroups}, issn = {0037-1912}, doi = {10.1007/s00233-008-9124-y}, year = {2009}, abstract = {We determine all regular solid varieties of commutative semigroups. Each of them is contained in the Reg- hyperequational class V (RC) defined by the associative law and the commutative law, and every subvariety of V (RC) is regular solid. In the present paper, the subvariety lattice of V (RC) will be characterized.}, language = {en} } @article{KoppitzSupaporn2013, author = {Koppitz, J{\"o}rg and Supaporn, Worakrit}, title = {Categary equivalences of clones of operations preserving unaryoperations}, series = {COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES}, volume = {66}, journal = {COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES}, number = {2}, publisher = {Publ. House of the Bulgarian Acad. of Sciences}, address = {Sofia}, issn = {1310-1331}, pages = {177 -- 184}, year = {2013}, abstract = {Any clones on arbitrary set A can be written of the form Pol (A)Q for some set Q of relations on A. We consider clones of the form Pal (A)Q where Q is a set of unary relations on a finite set A. A clone Pol (A)Q is said to be a clone on a set of the smallest cardinality with respect to category equivalence if vertical bar A vertical bar <= vertical bar S vertical bar for all finite sets S and all clones C on S that category equivalent to Pol (A)Q. We characterize the clones on a set of the smallest cardinality with respect to category equivalent and show how we can find a clone on a set of the smallest cardinality that category equivalent to a given clone.}, language = {en} } @article{DeneckeKoppitzMarszalek1998, author = {Denecke, Klaus-Dieter and Koppitz, J{\"o}rg and Marszalek, R.}, title = {Derived varieties and derived equational theories}, year = {1998}, language = {en} } @article{DeneckeKoppitzNiwczyk2002, author = {Denecke, Klaus-Dieter and Koppitz, J{\"o}rg and Niwczyk, St.}, title = {Equational theories generated by generalized hypersubstitutions of type (n)}, year = {2002}, language = {en} } @article{DeneckeKoppitz2001, author = {Denecke, Klaus-Dieter and Koppitz, J{\"o}rg}, title = {Essential variables in hypersubstitution}, year = {2001}, 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{DeneckeKoppitz1998, author = {Denecke, Klaus-Dieter and Koppitz, J{\"o}rg}, title = {Finite monoids of hypersubstitutions of type € = (2)}, year = {1998}, language = {en} } @article{DeneckeKoppitz2001, author = {Denecke, Klaus-Dieter and Koppitz, J{\"o}rg}, title = {Fluid, unsolid and completely unsolid varieties}, year = {2001}, language = {en} } @article{TinpunKoppitz2016, author = {Tinpun, Kittisak and Koppitz, J{\"o}rg}, title = {Generating sets of infinite full transformation semigroups with restricted range}, series = {Acta scientiarum mathematicarum}, volume = {82}, journal = {Acta scientiarum mathematicarum}, publisher = {Institutum Bolyaianum Universitatis Szegediensis}, address = {Szeged}, issn = {0001-6969}, doi = {10.14232/actasm-015-502-4}, pages = {55 -- 63}, year = {2016}, abstract = {In the present paper, we consider minimal generating sets of infinite full transformation semigroups with restricted range modulo specific subsets. In particular, we determine relative ranks.}, language = {en} } @article{DeneckeKoppitz1994, author = {Denecke, Klaus-Dieter and Koppitz, J{\"o}rg}, title = {Hyperassociative semigroups}, year = {1994}, language = {en} } @article{DeneckeKoppitz1998, author = {Denecke, Klaus-Dieter and Koppitz, J{\"o}rg}, title = {M-solid monoids of hypersubstitutions of type 2}, year = {1998}, language = {en} } @article{Koppitz1997, author = {Koppitz, J{\"o}rg}, title = {M-solid subvarieties of some varieties of commutative semigroups}, year = {1997}, language = {en} } @article{DeneckeKoppitz1995, author = {Denecke, Klaus-Dieter and Koppitz, J{\"o}rg}, title = {M-solid varieties of semigroups}, year = {1995}, language = {en} } @phdthesis{Koppitz2001, author = {Koppitz, J{\"o}rg}, title = {M-solide Variet{\"a}ten von Halbgruppen}, pages = {183 S.}, year = {2001}, language = {de} } @article{WismathKoppitzDenecke1997, author = {Wismath, Shelly and Koppitz, J{\"o}rg and Denecke, Klaus-Dieter}, title = {Maps between M-solid varieties of emigroups}, year = {1997}, language = {en} } @article{KoppitzMusunthia2014, author = {Koppitz, J{\"o}rg and Musunthia, Tiwadee}, title = {Maximal subsemigroups containing a particular semigroup}, series = {Mathematica Slovaca}, volume = {64}, journal = {Mathematica Slovaca}, number = {6}, publisher = {De Gruyter}, address = {Warsaw}, issn = {0139-9918}, doi = {10.2478/s12175-014-0280-0}, pages = {1369 -- 1380}, year = {2014}, abstract = {We characterize maximal subsemigroups of the monoid T(X) of all transformations on the set X = a"center dot of natural numbers containing a given subsemigroup W of T(X) such that T(X) is finitely generated over W. This paper gives a contribution to the characterization of maximal subsemigroups on the monoid of all transformations on an infinite set.}, language = {en} } @unpublished{KoppitzMusunthia2012, author = {Koppitz, J{\"o}rg and Musunthia, Tiwadee}, title = {Maximal subsemigroups containing a particular semigroup}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-57465}, year = {2012}, abstract = {We study maximal subsemigroups of the monoid T(X) of all full transformations on the set X = N of natural numbers containing a given subsemigroup W of T(X), where each element of a given set U is a generator of T(X) modulo W. This note continues the study of maximal subsemigroups of the monoid of all full transformations on an infinite set.}, language = {en} }