具有给定复数和弗罗贝纽斯数的数值半群的集合

IF 0.5 4区数学 Q3 MATHEMATICS

Portugaliae Mathematica Pub Date : 2019-04-11 DOI:10.4171/pm/2064

M. B. Branco, I. Ojeda, J. Rosales

引用次数: 6

摘要

研究了具有固定重数和Frobenius数的数值半群族的结构。给出了一种计算该族中所有半群的算法。作为一个应用，我们计算了所有具有给定复数和属的数值半群的集合。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The set of numerical semigroups of a given multiplicity and Frobenius number

We study the structure of the family of numerical semigroups with fixed multiplicity and Frobenius number. We give an algorithmic method to compute all the semigroups in this family. As an application we compute the set of all numerical semigroups with given multiplicity and genus.

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来源期刊

Portugaliae Mathematica MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

0.90

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： Since its foundation in 1937, Portugaliae Mathematica has aimed at publishing high-level research articles in all branches of mathematics. With great efforts by its founders, the journal was able to publish articles by some of the best mathematicians of the time. In 2001 a New Series of Portugaliae Mathematica was started, reaffirming the purpose of maintaining a high-level research journal in mathematics with a wide range scope.