A Gröbner basis algorithm computes Apéry sets for numerical monoids and affine semigroups to determine type and check the Gorenstein property.
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2019 2verdicts
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Surveys and extends the use of Groebner bases to characterize gaps and elements of numerical semigroups.
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On the computation of the Ap\'ery set of numerical monoids and affine semigroups
A Gröbner basis algorithm computes Apéry sets for numerical monoids and affine semigroups to determine type and check the Gorenstein property.
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Characterization of Gaps and Elements of a Numerical Semigroup Using Groebner Bases
Surveys and extends the use of Groebner bases to characterize gaps and elements of numerical semigroups.