2 papers
math.AC2018
A new characterization of principal ideal domains
Katie Christensen, Ryan Gipson, Hamid Kulosman
In 2008 N.~Q.~Chinh and P.~H.~Nam characterized principal ideal domains as integral domains that satisfy the follo\-wing two conditions: (i) they are unique factorization domains,…
math.AC2018
For which additive submonoids of nonnegative rationals is AP?
Ryan Gipson, Hamid Kulosman
We characterize the submonoids of the additive monoid $\Q_+$ of nonnegative rational numbers for which the irreducible and the prime elements in the monoid domain coin…