Christopher O'Neill

activity

20232025

collaborators

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math.AC2025

On numerical semigroup elements and the $ℓ_{0}$ - and $ℓ_{\infty}$ -norms of their factorizations

Sogol Cyrusian, Alex Domat, Christopher O'Neill +3

A numerical semigroup $S$ is a cofinite, additively-closed subset of $Z_{\geq 0}$ that contains 0, and a factorization of $x \in S$ is a $k$ -tuple $z = (z_{1}, \dots, z_{k})$ w…

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…

On numerical semigroup elements and the ℓ0​- and ℓ∞​-norms of their factorizations

Betti elements and full atomic support in rings and monoids

On numerical semigroup elements and the $ℓ_{0}$ - and $ℓ_{\infty}$ -norms of their factorizations