Sparse Numerical Semigroups

被引：0
|
作者：
Munuera, C. [1 ]
Torres, F. [2 ]
Villanueva, J. [2 ]
机构：
[1] Univ Valladolid, Dept Appl Math, Avda Salamanca SN, Valladolid 47012, Castilla, Spain
[2] Univ Estadual Campinas, IMECC, BR-13083970 Campinas, SP, Brazil
来源：
APPLIED ALGEBRA, ALGEBRAIC ALGORITHMS, AND ERROR-CORRECTING CODES | 2009年 / 5527卷
关键词：
WEIERSTRASS SEMIGROUPS; MINIMUM DISTANCE; CURVES; CODES;
D O I：
暂无
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
We investigate the class of numerical semigroups verifying the property rho(i+1) - rho(i) >= 2 for every two consecutive elements smaller than the conductor. These semigroups generalize Arf semigroups.
引用
收藏
页码：23 / +
页数：3
相关论文
共 50 条
  • [1] On κ-sparse numerical semigroups
    Tizziotti, Guilherme
    Villanueva, Juan
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2018, 17 (11)
  • [2] On the structure of numerical sparse semigroups and applications to Weierstrass points
    Contiero, Andre
    Moreira, Carlos Gustavo T. de A.
    Veloso, Paula M.
    JOURNAL OF PURE AND APPLIED ALGEBRA, 2015, 219 (09) : 3946 - 3957
  • [3] On certain families of sparse numerical semigroups with Frobenius number even
    Tizziotti, Guilherme
    Villanueva, Juan
    ALGEBRA AND DISCRETE MATHEMATICS, 2019, 27 (01): : 99 - 116
  • [4] On some invariants in numerical semigroups and estimations of the order bound
    Oneto, Anna
    Tamone, Grazia
    SEMIGROUP FORUM, 2010, 81 (03) : 483 - 509
  • [5] COMPUTATION OF NUMERICAL SEMIGROUPS BY MEANS OF SEEDS
    Bras-Amoros, Maria
    Fernandez-Gonzalez, Julio
    MATHEMATICS OF COMPUTATION, 2018, 87 (313) : 2539 - 2550
  • [6] On the weight of numerical semigroups
    Oliveira, G.
    Torres, F.
    Villanueva, J.
    JOURNAL OF PURE AND APPLIED ALGEBRA, 2010, 214 (11) : 1955 - 1961
  • [7] CYCLOTOMIC NUMERICAL SEMIGROUPS
    Ciolan, Emil-Alexandru
    Garcia-Sanchez, Pedro A.
    Moree, Pieter
    SIAM JOURNAL ON DISCRETE MATHEMATICS, 2016, 30 (02) : 650 - 668
  • [8] Counting numerical semigroups by genus and even gaps
    Bernardini, Matheus
    Torres, Fernando
    DISCRETE MATHEMATICS, 2017, 340 (12) : 2853 - 2863
  • [9] REALIZING NUMERICAL SEMIGROUPS AS WEIERSTRASS SEMIGROUPS: A COMPUTATIONAL APPROACH
    Pimentel, Francisco L. R.
    Oliveira, Gilvan
    JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS, 2006, 6 (03): : 445 - 454
  • [10] Non-K3 Weierstrass numerical semigroups
    Komeda, Jiryo
    Mase, Makiko
    SEMIGROUP FORUM, 2024, 108 (01) : 221 - 257
12345