Characterization of Gaps and Elements of a Numerical Semigroup Using Groebner Bases
Combinatorics
2019-07-03 v1 Commutative Algebra
Abstract
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.
Cite
@article{arxiv.1907.01217,
title = {Characterization of Gaps and Elements of a Numerical Semigroup Using Groebner Bases},
author = {Guadalupe Márquez-Campos and José M. Tornero},
journal= {arXiv preprint arXiv:1907.01217},
year = {2019}
}