3 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…
math.RA2023
Subatomicity in Rank-2 Lattice Monoids
Caroline Liu, Pedro Rodriguez, Marcos Tirador
Let be a cancellative and commutative monoid (written additively). The monoid is atomic if every non-invertible element can be written as a sum of irreducible elements (oft…