On minimal distances in Krull monoids with infinite class group

被引：14

作者：

Chapman, S. T. ^{[1
]}

Schmid, W. A. ^{[3
]}

Smith, W. W. ^{[2
]}

机构：

[1] Trinity Univ, Dept Math, San Antonio, TX 78212 USA

[2] Univ N Carolina, Dept Math, Chapel Hill, NC 27599 USA

[3] Karl Franzens Univ Graz, Inst Math & Wissensch Rechnen, A-8010 Graz, Austria

来源：

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2008年 / 40卷

基金：

奥地利科学基金会;

关键词：

D O I：

10.1112/blms/bdn040

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let H be a Krull monoid with infinite class group such that each divisor class contains a prime divisor. It is shown that for every positive integer n, there exists a divisor closed submonoid S of H such that min Delta(S) = n.

引用

页码：613 / 618

页数：6

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