2 papers
math.AC2024
Localization of unique factorization semidomains
Victor Gonzalez, Harold Polo, Pedro Rodriguez
A semidomain is a subsemiring of an integral domain. Within this class, a unique factorization semidomain (UFS) is characterized by the property that every nonzero, nonunit element…
math.AC2024
On the atomicity of power monoids of Puiseux monoids
Victor Gonzalez, Eddy Li, Henrick Rabinovitz +2
A submonoid of the additive group is called a Puiseux monoid if it consists of nonnegative rationals. Given a monoid , the set consisting of all nonempty finite sub…