Measuring primality in numerical semigroups with embedding dimension three

被引：7
|
作者：
Chapman, S. T. [1 ]
Garcia-Sanchez, P. A. [2 ,3 ]
Tripp, Z. [4 ]
Viola, C. [5 ]
机构：
[1] Sam Houston State Univ, Dept Math & Stat, Box 2206, Huntsville, TX 77341 USA
[2] Univ Granada, Dept Algebra, E-18071 Granada, Spain
[3] Univ Granada, CITIC UGR, E-18071 Granada, Spain
[4] Tufts Univ, Dept Math, Medford, MA 02155 USA
[5] Dipartimento Matemat & Informat, I-95125 Catania, Italy
来源：
JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2016年 / 15卷 / 01期
基金：
美国国家科学基金会;
关键词：
Prime element; numerical semigroup; omega function; TAME DEGREE; CATENARY; MONOIDS;
D O I：
10.1142/S0219498816500079
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we find the omega-value of the generators of any numerical semigroup with embedding dimension three. This allows us to determine all possible orderings of the omega-values of the generators. In addition, we relate the omega-value of the numerical semigroup to its catenary degree.
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收藏
页数：16
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