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.
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页码：433 / 442
页数：10
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