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
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
