• Title of article

    FOR WHICH PUISEUX MONOIDS ARE THEIR MONOID RINGS OVER FIELDS AP?

  • Author/Authors

    Gipson, Ryan a Department of Mathematics - University of Louisville, USA , Kulosman, Hamid Department of Mathematics - University of Louisville, USA

  • Pages
    18
  • From page
    43
  • To page
    60
  • Abstract
    We characterize the Puiseux monoids M for which the irreducible and the prime elements in the monoid ring F[X; M], where F is a field, coincide. We present a diagram of implications between some types of Puiseux monoids, with a precise position of the monoids M with this property.
  • Keywords
    Puiseux monoid , monoid domain , AP domain , atomic domain , PC domain , gcd/lcm property , height (0; 0; 0; : : : ) , Prüfer monoid , integrally closed monoid
  • Journal title
    International Electronic Journal of Algebra
  • Serial Year
    2020
  • Full Text URL
    dergipark.org.tr/en/download/article-file/895908
  • Record number

    2599151

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=2599151