{ "id": "1907.01217", "version": "v1", "published": "2019-07-02T08:05:01.000Z", "updated": "2019-07-02T08:05:01.000Z", "title": "Characterization of Gaps and Elements of a Numerical Semigroup Using Groebner Bases", "authors": [ "Guadalupe Márquez-Campos", "José M. Tornero" ], "journal": "Contemporary Mathematics Volume 649, 2015", "categories": [ "math.CO", "math.AC" ], "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.", "revisions": [ { "version": "v1", "updated": "2019-07-02T08:05:01.000Z" } ], "analyses": { "keywords": [ "groebner bases", "numerical semigroup", "research paper", "systematic way", "addressing problems" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }