15 citations · 40 across the 9 of their papers we have counts for
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math.AC2018
Membership and elasticity in certain affine monoids
Jackson Autry, Vadim Ponomarenko
For affine monoids of dimension 2 with embedding dimension 2 and 3, we study the problem of determining when a vector is an element of the monoid, and the problem of determining th…
math.AC2018★ 2 cited
Augmented Hilbert series of numerical semigroups
Jeske Glenn, Christopher O'Neill, Vadim Ponomarenko +1
A numerical semigroup is a subset of the non-negative integers containing that is closed under addition. The Hilbert series of (a formal power series equal to the sum o…
math.AC2018★ 3 cited
Squarefree divisor complexes of certain numerical semigroup elements
Jackson Autry, Paige Graves, Jessie Loucks +3
A numerical semigroup is an additive subsemigroup of the non-negative integers with finite complement, and the squarefree divisor complex of an element is a simplicia…