• DocumentCode
    3037933
  • Title

    On the representation dimension of triangular matrix algebras

  • Author

    Lin, Hanxing

  • Author_Institution
    Sch. of Sci., Tianjin Univ. of Technol. & Educ., Tianjin, China
  • fYear
    2011
  • fDate
    26-28 July 2011
  • Firstpage
    2241
  • Lastpage
    2244
  • Abstract
    We mainly discuss the representation dimension of the 2 × 2 triangular matrix algebra over an artin algebra. Let Λ be an artin algebra, and let T2(Λ) be the 2 × 2 triangular matrix algebra over Λ. We will show that the representation dimension of T2(Λ) is upper bounded by the maximum of the representation dimension of Λ plus 1 and the global dimension of Λ plus 2. In particular, we will show that if Λ is a hereditary algebra or a tilted algebra, then the representation dimension of T2(Λ) is at most 4.
  • Keywords
    matrix algebra; artin algebra; global dimension; hereditary algebra; representation dimension; triangular matrix algebras; Educational institutions; Generators; Matrices; System-on-a-chip; Upper bound; artin algebras; global dimension; representation dimension; triangular matrix algebras;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Multimedia Technology (ICMT), 2011 International Conference on
  • Conference_Location
    Hangzhou
  • Print_ISBN
    978-1-61284-771-9
  • Type

    conf

  • DOI
    10.1109/ICMT.2011.6002464
  • Filename
    6002464
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3037933