@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}
}