• Title of article

    Carlitz Modules and Galois Module Structure II Original Research Article

  • Author/Authors

    Akira Aiba، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 1998
  • Pages
    7
  • From page
    29
  • To page
    35
  • Abstract
    LetLsuperset ofFbe cyclotomic function fields of Carlitz. We show that ifL/Fis Carlitz–Kummer, the integer ringOLis free over the associated order as in the classical cyclotomic Kummer extension. However, contrary to the characteristic zero case,OLis not free unlessL/Fis Carlitz–Kummer.
  • Journal title
    Journal of Number Theory
  • Serial Year
    1998
  • Journal title
    Journal of Number Theory
  • Record number

    714800