251 citations · 388 across the 12 of their papers we have counts for
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math.AC2017★ 10 cited
Apéry sets of shifted numerical monoids
Christopher O'Neill, Roberto Pelayo
A numerical monoid is an additive submonoid of the non-negative integers. Given a numerical monoid , consider the family of "shifted" monoids obtained by adding to eac…
math.AC2017★ 8 cited
Realizable sets of catenary degrees of numerical monoids
Christopher O'Neill, Roberto Pelayo
The catenary degree is an invariant that measures the distance between factorizations of elements within an atomic monoid. In this paper, we classify which finite subsets of $\math…
math.AC2017★ 13 cited
Minimal presentations of shifted numerical monoids
Rebecca Conaway, Felix Gotti, Jesse Horton +4
A numerical monoid is an additive submonoid of the non-negative integers. Given a numerical monoid , consider the family of "shifted" monoids obtained by adding to eac…