• DocumentCode
    2298388
  • Title

    Triple Representation Theorem for Homogeneous Effect Algebras

  • Author

    Niederle, Josef ; Paseka, Jan

  • Author_Institution
    Dept. of Math. & Stat., Masaryk Univ., Brno, Czech Republic
  • fYear
    2012
  • fDate
    14-16 May 2012
  • Firstpage
    337
  • Lastpage
    342
  • Abstract
    The aim of our paper is to prove the Triple Representation Theorem, which was established by Jenca in the setting of complete lattice effect algebras, for a special class of homogeneous effect algebras, namely TRT-effect algebras. This class includes complete lattice effect algebras, sharply dominating Archimedean atomic lattice effect algebras and homogeneous ortho complete effect algebras.
  • Keywords
    algebra; Archimedean atomic lattice effect algebras; TRT-effect algebras; homogeneous effect algebras; homogeneous ortho complete effect algebras; triple representation theorem; Algebra; Educational institutions; Electronic mail; Hilbert space; Lattices; Quantum mechanics; Homogeneous effect algebra; MV-algebra; TRT-effect algebra; atom; block; center; lattice effect algebra; meager element; orthocomplete effect algebra; sharp element; sharply dominating effect algebra;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Multiple-Valued Logic (ISMVL), 2012 42nd IEEE International Symposium on
  • Conference_Location
    Victoria, BC
  • ISSN
    0195-623X
  • Print_ISBN
    978-1-4673-0908-0
  • Type

    conf

  • DOI
    10.1109/ISMVL.2012.27
  • Filename
    6214831
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2298388