Derives a formula for the number of integral points in a right-angled rational triangle via two-generator numerical semigroups as foundation for polygons.
Springer, 2009
3 Pith papers cite this work. Polarity classification is still indexing.
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A Gröbner basis algorithm computes Apéry sets for numerical monoids and affine semigroups to determine type and check the Gorenstein property.
Surveys and extends the use of Groebner bases to characterize gaps and elements of numerical semigroups.
citing papers explorer
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Integral points in rational polygons: a numerical semigroup approach
Derives a formula for the number of integral points in a right-angled rational triangle via two-generator numerical semigroups as foundation for polygons.
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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.