Arf numerical semigroups

被引：6
|
作者：
Ilhan, Sedat [1 ]
Karakas, Halil Ibrahim [2 ]
机构：
[1] Dicle Univ, Fac Sci, Dept Math, Diyarbakir, Turkey
[2] Baskent Univ, Fac Commercial Sci, Ankara, Turkey
来源：
TURKISH JOURNAL OF MATHEMATICS | 2017年 / 41卷 / 06期
关键词：
Numerical semigroups; Arf numerical semigroups; Arf closure;
D O I：
10.3906/mat-1512-46
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The aim of this work is to exhibit the relationship between the Arf closure of a numerical semigroup S and its Lipman semigroup L(S). This relationship is then used to give direct proofs of some characterizations of Arf numerical semigroups through their Lipman sequences of semigroups. We also give an algorithmic construction of the Arf closure of a numerical semigroup via its Lipman sequence of semigroups.
引用
收藏
页码：1448 / 1457
页数：10
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