UNIT-REGULARITY AND STABLE RANGE ONE

被引：8

作者：

Chen, Huanyin ^{[1
]}

机构：

[1] Hangzhou Normal Univ, Dept Math, Hangzhou 310036, Zhejiang, Peoples R China

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2010年 / 47卷 / 03期

关键词：

unit-regularity; stable range one; diagonal reduction; CANCELLATION;

D O I：

10.4134/BKMS.2010.47.3.653

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let R be a ring, and let Psi(R) be the ideal generated by the set {x is an element of R vertical bar 1 + sxt is an element of R is unit-regular for all s,t is an element of R}. We show that Psi(R) has "radical-like" property. It is proven that Psi(R) has stable range one. Thus, diagonal reduction of matrices over such ideal is reduced.

引用

页码：653 / 661

页数：9

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