Title :
Polynomial functions on a central relation
Author :
Schweigert, Dietmar
Author_Institution :
Dept. of Math., Kaiserslautern Univ., Germany
Abstract :
We show that the algebra R=(R; Λ, ∨_, 0, f~i(x)(i∈I)) is central polynomially complete. Every central polynomially complete algebra is finite. The clones on a set can be found of any finite and infinite cardinality.
Keywords :
polynomials; set theory; central polynomially complete algebra; central relation polynomial functions; clone induced binary central relations; finite algebra; set clones; set theory; Logic; Polynomials;
Conference_Titel :
Multiple-Valued Logic, 2004. Proceedings. 34th International Symposium on
Print_ISBN :
0-7695-2130-4
DOI :
10.1109/ISMVL.2004.1319948