Systems of inequalities and numerical semigroups

被引：35

作者：

Rosales, JC ^{[1
]}

García-Sánchez, PA

García-García, JI

Branco, MB

机构：

[1] Univ Granada, Dept Algebra, E-18071 Granada, Spain

[2] Univ Evora, Dept Matemat, P-7000 Evora, Portugal

来源：

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 2002年 / 65卷

关键词：

D O I：

10.1112/S0024610701003052

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A one-to-one correspondence is described between the set Y(m) of numerical semigroups with multiplicity m and the set of non-negative integer solutions of a system of linear Diophantine inequalities. This correspondence infers in Y(m) a semigroup structure and the resulting semigroup is isomorphic to a subsemigroup of Nm-1. Finally, this result is particularized to the symmetric case.

引用

页码：611 / 623

页数：13

共 17 条

[1] Avoiding slack variables in the solving of linear diophantine equations and inequations [J].