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

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2004年 / 387卷

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

页码：297 / 311

页数：15

共 14 条

[1] Strongly pi-regular rings have stable range one
Ara, P
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1996, 124 (11) : 3293 - 3298
[2] Ara P, 1997, LINEAR ALGEBRA APPL, V265, P147
[3] Cancellation of projective modules over regular rings with comparability
Ara, P
OMeara, KC
Tyukavkin, DV
[J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 1996, 107 (01) : 19 - 38
[4] STABLE RANGE ONE FOR RINGS WITH MANY IDEMPOTENTS
CAMILLO, VP
YU, HP
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1995, 347 (08) : 3141 - 3147
[5] CHEN H, IN PRESS COMMUN ALGE
[6] Rings with stable range conditions
Chen, HY
[J]. 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
HENRIKSEN, M
[J]. ARCHIV DER MATHEMATIK, 1973, 24 (02) : 133 - 141
[9] Products of three triangular matrices
Nagarajan, KR
Devasahayam, MP
Soundararajan, T
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1999, 292 (1-3) : 61 - 71
[10] Products of three triangular matrices over commutative rings
Nagarajan, KR
Devasahayam, MP
Soundararajan, T
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2002, 348 (348) : 1 - 6

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