• DocumentCode
    2297591
  • Title

    Prime Filters on Residuated Lattices

  • Author

    Kondo, Michiro ; Turunen, Esko

  • Author_Institution
    Tokyo Denki Univ., Inzai, Japan
  • fYear
    2012
  • fDate
    14-16 May 2012
  • Firstpage
    89
  • Lastpage
    91
  • Abstract
    In this short paper we give an affirmative answer to the problem left open in [3], that is, for any residuated lattice, if prime filters and prime filters of the second kind coincide, then must be an MTL-algebra.
  • Keywords
    group theory; lattice theory; multivalued logic; process algebra; MTL-algebra; affirmative answer; prime filters; residuated lattices; Boolean algebra; Educational institutions; Fuzzy logic; Fuzzy sets; Lattices; System-on-a-chip; MTL-algebra; prime filter; residuated lattice;
  • 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.2012.40
  • Filename
    6214789