Article ID Journal Published Year Pages File Type
4595474 Journal of Number Theory 2008 15 Pages PDF
Abstract

The set of solutions of the inequality is a numerical semigroup. We present in this paper a tool for finding the set of minimal generators of this set, and thus the set of solutions to such an inequality. This tool will also enable us to give characterizations of those numerical semigroups that are the set of integer solutions of inequalities of this form. Finally, we give a deeper study of the embedding dimension three case.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory