• DocumentCode
    635812
  • Title

    Dimensions of ℒ-semilinear spaces over zerosumfree semirings

  • Author

    Qian-yu Shu ; Xue-ping Wang

  • Author_Institution
    Coll. of Math. & Software Sci., Sichuan Normal Univ., Chengdu, China
  • fYear
    2013
  • fDate
    24-28 June 2013
  • Firstpage
    35
  • Lastpage
    40
  • Abstract
    This paper investigates the dimensions of ℒ-semilinear subspaces of Vn. It first obtains some necessary and sufficient conditions that each basis has the same number of elements. Then it presents that over some zerosumfree semirings, each basis also has the same number of elements. In the end, it discusses the relationships between the direct sums and the dimensions of semilinear subspaces of n-dimensional vectors and shows a necessary and sufficient condition that a sum of semilinear subspaces is a direct sum over some zerosumfree semirings.
  • Keywords
    algebra; dimensions; direct sum; semilinear subspaces; zerosumfree semirings; Additives; Educational institutions; Fuzzy sets; Vectors; Basis; Dimensions; Direct sums; Sums;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    IFSA World Congress and NAFIPS Annual Meeting (IFSA/NAFIPS), 2013 Joint
  • Conference_Location
    Edmonton, AB
  • Type

    conf

  • DOI
    10.1109/IFSA-NAFIPS.2013.6608371
  • Filename
    6608371
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=635812