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math.AC2019
Elasticity in Apery sets
Jackson Autry, Tara Gomes, Christopher O'Neill +1
A numerical semigroup is an additive subsemigroup of the non-negative integers, containing zero, with finite complement. Its multiplicity is its smallest nonzero element. T…
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
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…