Positioned numerical semigroups with maximal gender as function of multiplicity and Frobenius number

被引：0
|
作者：
Rosales, J. C. [1 ]
Branco, M. B. [2 ]
Faria, M. C. [3 ]
机构：
[1] Univ Granada, Dept Algebra, E-18071 Granada, Spain
[2] Univ Evora, Dept Matemat, P-7000 Evora, Portugal
[3] Inst Sup Engn Lisboa, Area Dept Fis, P-1959007 Lisbon, Portugal
来源：
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2022年 / 51卷 / 01期
关键词：
numerical semigroups; positioned numerical semigroups; C-semigroups; D-semigroups tree; Frobenius number; multiplicity and gender;
D O I：
10.15672/hujms.897234
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A C-semigroup (respectively a D-semigroup) is a positioned numerical semigroup S such that g(S) = F(S)+m(S)-1/2 (respectively g(S) = F(S)+m(S)-2/2 ). In this paper we study these semigroups giving formulas for the Frobenius number, pseudo-Frobenius number, and type. Furthermore, we give algorithms for computing the whole set of C-semigroups and D-semigroups.
引用
收藏
页码：218 / 227
页数：10
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