• Title of article

    Factoring ideals in Prüfer domains

  • Author/Authors

    Marco Fontana، نويسنده , , Evan Houston، نويسنده , , Thomas Lucas، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2007
  • Pages
    13
  • From page
    1
  • To page
    13
  • Abstract
    We show that in certain Prüfer domains, each nonzero ideal I can be factored as image, where Iv is the divisorial closure of I and image is a product of maximal ideals. This is always possible when the Prüfer domain is h-local, and in this case such factorizations have certain uniqueness properties. This leads to new characterizations of the h-local property in Prüfer domains. We also explore consequences of these factorizations and give illustrative examples.
  • Journal title
    Journal of Pure and Applied Algebra
  • Serial Year
    2007
  • Journal title
    Journal of Pure and Applied Algebra
  • Record number

    818782