The set of solutions of a proportionally modular Diophantine inequality

被引：17

作者：

Rosales, J. C. ^{[1
]}

Garcia-Sanchez, P. A. ^{[1
]}

Urbano-Blanco, J. M. ^{[1
]}

机构：

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

来源：

JOURNAL OF NUMBER THEORY | 2008年 / 128卷 / 03期

关键词：

D O I：

10.1016/j.jnt.2007.11.002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The set of solutions of the inequality ax mod b <= cx 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. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：453 / 467

页数：15

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