Some Properties of Affine C-semigroups

被引：0
|
作者：
Garcia-Garcia, J. I. [1 ]
Marin-Aragon, D. [2 ]
Sanchez-Loureiro, A. [2 ]
Vigneron-Tenorio, A. [3 ]
机构：
[1] Univ Cadiz, Inst Univ Desarrollo Social Sostenible, INDESS, Dept Matemat, Puerto Real 11510, Spain
[2] Univ Cadiz, Dept Matemat, Puerto Real 11510, Cadiz, Spain
[3] Univ Cadiz, Inst Univ Desarrollo Social Sostenible, INDESS, Dept Matemat, E-11406 Jerez de la Frontera, Cadiz, Spain
来源：
RESULTS IN MATHEMATICS | 2024年 / 79卷 / 02期
关键词：
C-semigroup; Frobenius element; fundamental gap; irreducible semigroup; pseudo-Frobenius element; pseudo-symmetric semigroup; special gap; symmetric semigroup;
D O I：
10.1007/s00025-023-02056-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Numerical semigroups have been extensively studied throughout the literature, and many of their invariants have been characterized. In this work, we generalize some of the most important results about symmetry, pseudo-symmetry, or fundamental gaps, to affine C-semigroups. In addition, we give algorithms to compute the tree of irreducible C-semigroups and C-semigroups with a given Frobenius vector.
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页数：19
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