Almost symmetric numerical semigroups with given Frobenius number and type

被引：5

作者：

Branco, M. B. ^{[1
]}

Ojeda, I ^{[2
]}

Rosales, J. C. ^{[3
]}

机构：

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

[2] Univ Extremadura, Dept Matemat, E-06071 Badajoz, Spain

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

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2019年 / 18卷 / 11期

关键词：

Almost symmetric numerical semigroup; irreducible numerical semigroup; genus; Frobenius number; type;

D O I：

10.1142/S0219498819502177

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give two algorithmic procedures to compute the whole set of almost symmetric numerical semigroups with fixed Frobenius number and type, and the whole set of almost symmetric numerical semigroups with fixed Frobenius number. Our algorithms allow to compute the whole set of almost symmetric numerical semigroups with fixed Frobenius number with similar or even higher efficiency that the known ones. They have been implemented in the GAP [The GAP Group, GAP - Groups, Algorithms and Programming, Version 4.8.6; 2016, https://www.gap-system.org] package NumericalSgps [M. Delgado and P. A. Garcia-Sanchez and J. Morais, "numericalsgps": A GAP package on numerical semigroups, https://github.com/gap-packages/numericalsgps].

引用

页数：14

共 15 条

[1] One-dimensional almost Gorenstein rings [J].