2 papers
math.CO2023
On Picard groups and Jacobians of directed graphs
Jaiung Jun, Youngsu Kim, Matthew Pisano
The Picard group of an undirected graph is a finitely generated abelian group, and the Jacobian is the torsion subgroup of the Picard group. These groups can be computed by using t…
math.AC2016
A note on Itoh (e)-Valuation Rings of and Ideal
Youngsu Kim, Louis J. Ratliff, David E. Rush
Let be a regular proper ideal in a Noetherian ring , let be an integer, let (where…