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
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.
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页数:9
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