Characterization of Gaps and Elements of a Numerical Semigroup Using Groebner Bases

Guadalupe Márquez–Campos, José M. Tornero · arXiv (Cornell University) · 2019

This article is partly a survey and partly a research paper. It tackles the use of Groebner bases for addressing problems of numerical semigroups, which is a topic that has been around for some years, but it does it in a systematic way which enables us to prove some results and a hopefully interesting characterization of the elements of a semigroup in terms of Groebner bases.

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