On the computation of the Apéry set of numerical monoids and affine semigroups
arXiv:1907.01222 · doi:10.1007/s00233-014-9631-y
Abstract
A simple way of computing the Apéry set of a numerical semigroup (or monoid) with respect to a generator, using Groebner bases, is presented, together with a generalization for affine semigroups. This computation allows us to calculate the type set and, henceforth, to check the Gorenstein condition which characterizes the symmetric numerical subgroups.