Title :
A completeness criterion for semi-affine algebras
Author_Institution :
Bolyai Inst., Jozsef Attila Univ., Szeged, Hungary
Abstract :
A semi-affine algebra is considered complete if it is a simple affine algebra, and the question of under what conditions a semi-affine algebra is complete is investigated. It is determined that a finite algebra A that is semi-affine with respect to an elementary Abelian group is complete if and only if A admits no nontrival congruence of the group and no q-regular relation corresponding to a q-regular family of congruences of the group, and A is not isomorphic to a matrix power of a unary semi-affine algebra
Keywords :
many-valued logics; completeness criterion; elementary Abelian group; finite algebra; many-valued logic; matrix power; nontrival congruence; q-regular relation; semi-affine algebras; Algebra; Cloning; Logic functions; Polynomials; Tin;
Conference_Titel :
Multiple-Valued Logic, 1992. Proceedings., Twenty-Second International Symposium on
Conference_Location :
Sendai
Print_ISBN :
0-8186-2680-1
DOI :
10.1109/ISMVL.1992.186812
