The Frobenius problem for numerical semigroups

被引：9
|
作者：
Rosales, J. C. [2 ]
Branco, M. B. [1 ]
机构：
[1] Univ Evora, Dept Matemat, P-7000 Evora, Portugal
[2] Univ Granada, Dept Algebra, E-18071 Granada, Spain
来源：
JOURNAL OF NUMBER THEORY | 2011年 / 131卷 / 12期
关键词：
Numerical semigroup; Frobenius number; Genus;
D O I：
10.1016/j.jnt.2011.05.011
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we characterize those numerical semigroups containing < n(1), n(2)>. From this characterization, we give formulas for the genus and the Frobenius number of a numerical semigroup. These results can be used to give a method for computing the genus and the Frobenius number of a numerical semigroup with embedding dimension three in terms of its minimal system of generators. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码：2310 / 2319
页数：10
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