A class of integer 3 x 3 matrices related to numerical semigroups with embedding dimension 4

被引：0
|
作者：
Bajrami, Merita [1 ]
Dimovski, Donco [2 ]
Angjelkoska, Violeta [3 ]
机构：
[1] Univ Tetovo, Fac Nat Sci & Math, Str Ilinden,Nn 1200, Tetova, North Macedonia
[2] Macedonian Acad Sci & Arts, Blvd Krste Misirkov 2, Skopje, North Macedonia
[3] Amer Univ Europe FON, Fac Informat, Kiro Gligorov 5, Skopje, North Macedonia
来源：
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2024年 / 17卷 / 11期
关键词：
Numerical semigroups; embedding dimesion 4; (n; j; k)-good matrix; Apery set;
D O I：
10.1142/S1793557124500578
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The aim of this paper is to present a class of integer 3 x 3 matrices related to numerical semigroups with embedding dimension 4, generated by four integers n,x,y and z such that x equivalent to 1(mod n), y equivalent to j(mod n), z equivalent to k(mod n), n < x < y < z and gcd(n,y) = 1. For a matrix M of this class, we describe the Ap & eacute;ry set with respect to n, of the numerical semigroup related to M.
引用
收藏
页数：9
相关论文
共 50 条
  • [1] On a class of numerical semigroups with embedding dimension equal to 4
    Angjelkoska, Violeta
    Dimovski, Donco
    Stojmenovska, Irena
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2022, 15 (10)
  • [2] NUMERICAL SEMIGROUPS THAT ARE FRACTIONS OF NUMERICAL SEMIGROUPS OF MAXIMAL EMBEDDING DIMENSION
    Smith, Harold J.
    JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS, 2010, 17 (01): : 69 - 96
  • [3] Numerical semigroups with embedding dimension three
    Rosales, JC
    García-Sánchez, PA
    ARCHIV DER MATHEMATIK, 2004, 83 (06) : 488 - 496
  • [4] On numerical semigroups with high embedding dimension
    Rosales, JC
    Garcia-Sanchez, PA
    JOURNAL OF ALGEBRA, 1998, 203 (02) : 567 - 578
  • [5] Numerical semigroups with embedding dimension three
    J. C. Rosales
    P. A. García-Sáanchez
    Archiv der Mathematik, 2004, 83 : 488 - 496
  • [6] Factoring in embedding dimension three numerical semigroups
    Aguilo-Gost, F.
    Garcia-Sanchez, P. A.
    ELECTRONIC JOURNAL OF COMBINATORICS, 2010, 17 (01):
  • [7] Numerical semigroups with quasi maximal embedding dimension
    Llena, D.
    Rosales, J. C.
    RICERCHE DI MATEMATICA, 2024, : 731 - 749
  • [8] Densities of maximal embedding dimension numerical semigroups
    Iglesias, Laura
    Margarida Neto, Ana
    COMMUNICATIONS IN ALGEBRA, 2018, 46 (06) : 2730 - 2737
  • [9] Perfect numerical semigroups with embedding dimension three
    Angeles Moreno-Frias, Maria
    Carlos Rosales, Jose
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 2020, 97 (1-2): : 77 - 84
  • [10] On proportionally modular numerical semigroups of embedding dimension three
    Edgar Federico Elizeche
    Amitabha Tripathi
    The Ramanujan Journal, 2023, 61 : 1197 - 1211
12345