• DocumentCode
    2910561
  • Title

    A completeness criterion for semi-affine algebras

  • Author

    Szendrei, Ágnes

  • Author_Institution
    Bolyai Inst., Jozsef Attila Univ., Szeged, Hungary
  • fYear
    1992
  • fDate
    27-29 May 1992
  • Firstpage
    314
  • Lastpage
    319
  • 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;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Multiple-Valued Logic, 1992. Proceedings., Twenty-Second International Symposium on
  • Conference_Location
    Sendai
  • Print_ISBN
    0-8186-2680-1
  • Type

    conf

  • DOI
    10.1109/ISMVL.1992.186812
  • Filename
    186812
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2910561