Article
On the computation of the Apéry set of numerical monoids and affine semigroups
Author/s | Márquez Campos, Guadalupe
Ojeda, Ignacio Tornero Sánchez, José María |
Department | Universidad de Sevilla. Departamento de álgebra |
Publication Date | 2014-10-01 |
Deposit Date | 2022-11-09 |
Published in |
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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 ... 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. |
Citation | Márquez Campos, G., Ojeda, I. y Tornero Sánchez, J.M. (2014). On the computation of the Apéry set of numerical monoids and affine semigroups. Semigroup Forum, 91, 139-158. https://doi.org/10.1007/s00233-014-9631-y. |
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