The catenary and tame degree of numerical monoids generated by generalized arithmetic sequences

被引：23
|
作者：
Omidali, Mehdi [1 ]
机构：
[1] Inst Res Fundamental Sci IPM, Sch Math, Tehran, Iran
来源：
FORUM MATHEMATICUM | 2012年 / 24卷 / 03期
关键词：
Numerical monoids; tame degree; catenary degree; LINEAR DIOPHANTINE PROBLEM;
D O I：
10.1515/FORM.2011.078
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Studying certain combinatorial properties of non-unique factorizations have been a subject of recent literature. Little is known about two combinatorial invariants, namely the catenary degree and the tame degree, even in the case of numerical monoids. In this paper we compute these invariants for a certain class of numerical monoids generated by generalized arithmetic sequences. We also show that the difference between the tame degree and the catenary degree can be arbitrary large even if the number of minimal generators is fixed.
引用
收藏
页码：627 / 640
页数：14
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