Christopher O’Neill

most citedOn faces of the Kunz cone and the numerical semigroups within them

1 citations · 1 across the 4 of their papers we have counts for

collaborators

Showing math.ACShow all

3 papers · 1 filter

math.AC2024

Families of numerical semigroups and a special case of the Huneke-Wiegand conjecture

Miguel Landeros, Christopher O'Neill, Roberto Pelayo +3

The Huneke-Wiegand conjecture is a decades-long open question in commutative algebra. García-Sánchez and Leamer showed that a special case of this conjecture concerning numerical s…

math.AC2024

Perspicacious $l_{p}$ norm parameters

Christopher O'Neill, Vadim Ponomarenko, Eric Ren

Fix $t \in [1, \infty]$ . Let $S$ be an atomic commutative semigroup and, for all $x \in S$ , let $L_{t} (S) := {∥ f ∥_{t} : f \in Z (x)}$ be the " $t$ -length set" of $x$ (using the sta…

math.AC2023

The structure theorem for sets of length for numerical semigroups

Gilad Moskowitz, Christopher O'Neill

For sufficiently nice families of semigroups and monoids, the structure theorem for sets of length states that the length set of any sufficiently large element is an arithmetic seq…

Families of numerical semigroups and a special case of the Huneke-Wiegand conjecture

Perspicacious lp​ norm parameters

The structure theorem for sets of length for numerical semigroups

Perspicacious $l_{p}$ norm parameters