The Frobenius number in the set of numerical semigroups with fixed multiplicity and genus

被引：2

作者：

Robles-Perez, Aureliano M. ^{[1
]}

Carlos Rosales, Jose ^{[2
]}

机构：

[1] Univ Granada, Fac Ciencias, Dept Matemat Aplicada, E-18071 Granada, Spain

[2] Univ Granada, Fac Ciencias, Dept Algebra, E-18071 Granada, Spain

来源：

INTERNATIONAL JOURNAL OF NUMBER THEORY | 2017年 / 13卷 / 04期

关键词：

Numerical semigroups; Frobenius number; multiplicity; genus; LINEAR DIOPHANTINE PROBLEM;

D O I：

10.1142/S1793042117500531

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We compute all possible numbers that are the Frobenius number of a numerical semigroup when multiplicity and genus are fixed. Moreover, we construct explicitly numerical semigroups in each case.

引用

页码：1003 / 1011

页数：9

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