• DocumentCode
    131243
  • Title

    Some results in primary ideals of MV-algebras

  • Author

    Forouzesh, F. ; Saeid, A. Borumand

  • Author_Institution
    Dept. of Math., Higher Educ. Complex of Bam, Bam, Iran
  • fYear
    2014
  • fDate
    4-6 Feb. 2014
  • Firstpage
    1
  • Lastpage
    4
  • Abstract
    In this paper, we study primary decomposition of an ideal in an MV-algebra. We show that if an ideal in MV-algebras has a primary decomposition, then it has a reduced primary decomposition. Also we introduced .-primary ideal of PMV-algebra and by example, we show that a .-primary ideal in a PMV-algebra is not a .-prime ideal in a PMV-algebra.
  • Keywords
    Boolean algebra; multivalued logic; .-primary ideal; .-prime ideal; BL-algebra; MV-algebras; PMV-algebra; ideal primary decomposition; Algebra; Cognition; Educational institutions; Lattices; Multivalued logic; System-on-chip; .-primary; MV-algebra; PMV-algebra; Primary decomposition; formatting;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Intelligent Systems (ICIS), 2014 Iranian Conference on
  • Conference_Location
    Bam
  • Print_ISBN
    978-1-4799-3350-1
  • Type

    conf

  • DOI
    10.1109/IranianCIS.2014.6802539
  • Filename
    6802539
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=131243