3 papers
math.AC2026
Lengths of irreducible decompositions of numerical semigroups
Pedro Garcia-Sanchez, Christopher O'Neill
A numerical semigroup is an additive subsemigroup of the natural numbers that contains zero and has finite complement. A numerical semigroup is irreducible if it cannot be written…
math.AC2025
Betti elements and full atomic support in rings and monoids
Scott T. Chapman, Pedro García-Sánchez, Christopher O'Neill +1
Several papers in the recent literature have studied factorization properties of affine monoids using the monoid's Betti elements. In this paper, we extend this study to more gener…
math.AC2023
The isomorphism problem for ideal class monoids of numerical semigroups
Pedro A. Garcia-Sanchez
From any poset isomorphic to the poset of gaps of a numerical semigroup with the order induced by , one can recover . As an application, we prove that two different numer…