๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On products of three triangular matrices over associative rings

โœ Scribed by Huanyin Chen; Miaosen Chen


Book ID
108198696
Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
212 KB
Volume
387
Category
Article
ISSN
0024-3795

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


Products of three triangular matrices
โœ K.R. Nagarajan; M. Paul Devasahayam; T. Soundararajan ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 100 KB

We prove that any square matrix over a ยฎeld is the product of at most three triangular matrices. We also give explicit LUL factorizations for all 2 ร‚ 2 and 3 ร‚ 3 matrices over ยฎelds.

Products of involutory matrices over rin
โœ F.A. Arlinghaus; L.N. Vaserstein; Hong You ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 440 KB
Multiplicative semigroup automorphisms o
โœ Chongguang Cao; Zhang Xian ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 297 KB

Suppose R is a ring with 1 and C a central subring of R. Let T,(R) be the C-algebra of upper triangular n x n matrices over R. Recently several authors have shown that if R is sufficiently well behaved, then every C-automorphism of T,,(R) is the composites of an inner automorphism and an automorphis