2 citations · 3 across the 12 of their papers we have counts for
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Numerical semigroups from rational matrices II: matricial dimension does not exceed multiplicity
Arsh Chhabra, Stephan Ramon Garcia, Christopher O'Neill
We continue our study of exponent semigroups of rational matrices. Our main result is that the matricial dimension of a numerical semigroup is at most its multiplicity (the least g…
Infinite free resolutions over numerical semigroup algebras via specialization
Tara Gomes, Christopher O'Neill, Aleksandra Sobieska +1
Each numerical semigroup with smallest positive element corresponds to an integer point in a polyhedral cone , known as the Kunz cone. The faces of form a strati…
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…
Counting edges in factorization graphs of numerical semigroup elements
Mariah Moschetti, Christopher O'Neill
A numerical semigroup is an additively-closed set of non-negative integers, and a factorization of an element of is an expression of as a sum of generators of .…
Numerical semigroups, polyhedra, and posets IV: walking the faces of the Kunz cone
Cole Brower, Joseph McDonough, Christopher O'Neill
A numerical semigroup is a cofinite subset of containing and closed under addition. Each numerical semigroup with smallest positive element correspo…