ON THE ENUMERATION OF THE SET OF ELEMENTARY NUMERICAL SEMIGROUPS WITH FIXED MULTIPLICITY, FROBENIUS NUMBER OR GENUS

被引：3

作者：

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

BRANCO, M. B. ^{[2
]}

机构：

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

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

来源：

KRAGUJEVAC JOURNAL OF MATHEMATICS | 2022年 / 46卷 / 03期

关键词：

Elementary numerical semigroups; Fibonacci sequence; genus; Frobenius number and multiplicity;

D O I：

10.46793/KgJMat2203.433R

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we give algorithms that allow to compute the set of every elementary numerical semigroups with given genus, Frobenius number and multiplicity. As a consequence we obtain formulas for the cardinality of these sets.

引用

页码：433 / 442

页数：10