On products of three triangular matrices over associative rings

被引:5
作者
Chen, HY [1 ]
Chen, MS [1 ]
机构
[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China
关键词
triangular matrices; bass stable rank 1; hermite ring;
D O I
10.1016/j.laa.2004.01.023
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we characterize an associative ring over which any n x n (n greater than or equal to 2) square matrix A can be written as L U M, where L, M are lower triangular, U is upper triangular and L and U have all their diagonal entries 1. (C) 2004 Published by Elsevier Inc.
引用
收藏
页码:297 / 311
页数:15
相关论文
共 14 条
[2]  
Ara P, 1997, LINEAR ALGEBRA APPL, V265, P147
[3]   Cancellation of projective modules over regular rings with comparability [J].
Ara, P ;
OMeara, KC ;
Tyukavkin, DV .
JOURNAL OF PURE AND APPLIED ALGEBRA, 1996, 107 (01) :19-38
[4]   STABLE RANGE ONE FOR RINGS WITH MANY IDEMPOTENTS [J].
CAMILLO, VP ;
YU, HP .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1995, 347 (08) :3141-3147
[5]  
CHEN H, IN PRESS COMMUN ALGE
[6]   Rings with stable range conditions [J].
Chen, HY .
COMMUNICATIONS IN ALGEBRA, 1998, 26 (11) :3653-3668
[7]  
Goodearl K.R., 1991, von Neumann regular rings, V2nd
[8]   CLASS OF REGULAR RINGS THAT ARE ELEMENTARY DIVISOR RINGS [J].
HENRIKSEN, M .
ARCHIV DER MATHEMATIK, 1973, 24 (02) :133-141
[9]   Products of three triangular matrices [J].
Nagarajan, KR ;
Devasahayam, MP ;
Soundararajan, T .
LINEAR ALGEBRA AND ITS APPLICATIONS, 1999, 292 (1-3) :61-71
[10]   Products of three triangular matrices over commutative rings [J].
Nagarajan, KR ;
Devasahayam, MP ;
Soundararajan, T .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2002, 348 (348) :1-6