SEMIGROUP-THEORETICAL CHARACTERIZATIONS OF ARITHMETICAL INVARIANTS WITH APPLICATIONS TO NUMERICAL MONOIDS AND KRULL MONOIDS

被引：29
|
作者：
Blanco, V. [1 ]
Garcia-Sanchez, P. A. [1 ]
Geroldinger, A. [2 ]
机构：
[1] Univ Granada, Dept Algebra, E-18071 Granada, Spain
[2] Karl Franzens Univ Graz, Inst Math & Wissensch Rechnen, A-8010 Graz, Austria
来源：
ILLINOIS JOURNAL OF MATHEMATICS | 2011年 / 55卷 / 04期
基金：
奥地利科学基金会;
关键词：
TAME DEGREE; SETS; FACTORIZATIONS; ALGORITHM; CATENARY; DOMAINS; CHAINS;
D O I：
10.1215/ijm/1373636689
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Arithmetical invariants-such as sets of lengths, catenary and tame degrees-describe the non-uniqueness of factorizations in atomic monoids. We study these arithmetical invariants by the monoid of relations and by presentations of the involved monoids. The abstract results will be applied to numerical monoids and to Krull monoids.
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收藏
页码：1385 / 1414
页数：30
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