TY  - JOUR
A1  - Koppitz, Jörg
A1  - Supaporn, Worakrit
T1  - Categary equivalences of clones of operations preserving unaryoperations
JF  - COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES
N2  - 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.
KW  - category equivalence of clones
KW  - clone of operations
Y1  - 2013
SN  - 1310-1331
VL  - 66
IS  - 2
SP  - 177
EP  - 184
PB  - Publ. House of the Bulgarian Acad. of Sciences
CY  - Sofia
ER  -