On the computation of the Apery set of numerical monoids and affine semigroups

被引：10
|
作者：
Marquez-Campos, Guadalupe [1 ,2 ]
Ojeda, Ignacio [3 ]
Tornero, Jose M. [1 ,2 ]
机构：
[1] Univ Seville, Dept Algebra, E-41080 Seville, Spain
[2] Univ Seville, IMUS, E-41080 Seville, Spain
[3] Univ Extremadura, Dept Matemat, E-06071 Badajoz, Spain
来源：
SEMIGROUP FORUM | 2015年 / 91卷 / 01期
关键词：
Numerical semigroups; Affine semigroups; Numerical monoids; Apery set; Type set; Gorenstein condition; Groebner bases;
D O I：
10.1007/s00233-014-9631-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A simple way of computing the Ap,ry set of a numerical semigroup (or monoid) with respect to a generator, using Groebner bases, is presented, together with a generalization for affine semigroups. This computation allows us to calculate the type set and, henceforth, to check the Gorenstein condition which characterizes the symmetric numerical subgroups.
引用
收藏
页码：139 / 158
页数：20
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