• DocumentCode
    2910452
  • Title

    Rectangular algebras

  • Author

    Pöschel, R. ; Reichel, M.

  • Author_Institution
    Inst. fur Algebra, Tech. Univ., Dresden, Germany
  • fYear
    1992
  • fDate
    27-29 May 1992
  • Firstpage
    255
  • Lastpage
    260
  • Abstract
    Algebras of the variety RAτ generated by projection algebras (of type τ) are called rectangular algebras. It turns out that an algebra (A; F) is rectangular if and only if A can be decomposed in (i.e., encoded by) components in such a way that every term function f:An→A can be performed in parallel and is a projection on each component (algebraically speaking, if <A; F> is isomorphic to a direct product of projection algebras). A list Στ of identities that completely characterize rectangular algebras is given. Every term in RAτ has a normal form. Some algorithms (for decomposition and normal form) and examples for finite algebras of finite type are given
  • Keywords
    Boolean algebra; encoding; finite algebras; projection algebras; rectangular algebras; term function; Algebra; Decoding; Electronic circuits; Encoding; Shift registers;
  • 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.1992.186804
  • Filename
    186804
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2910452