Square matrices are shown to be diagonalizable over all known classes of (von Neumann) regular rings. This diagonalizability is equivalent to a cancellation property for finitely generated projective modules which conceivably holds over all regular rings. These results are proved in greater generali
โฆ LIBER โฆ
Uniform diagonalisation of matrices over regular rings
โ Scribed by K. C. O'Meara; R. M. Raphael
- Publisher
- Springer
- Year
- 2001
- Tongue
- English
- Weight
- 136 KB
- Volume
- 45
- Category
- Article
- ISSN
- 0002-5240
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Diagonalization of matrices over regular
โ
P. Ara; K.R. Goodearl; K.C. O'Meara; E. Pardo
๐
Article
๐
1997
๐
Elsevier Science
๐
English
โ 725 KB
Rank factorization and bordering of regu
โ
E. Ballico
๐
Article
๐
2000
๐
Elsevier Science
๐
English
โ 47 KB
Let R be a commutative ring. Manjunatha Prasad and Bhaskara Rao proved that every regular matrix over R can be completed to an invertible matrix of a particular size by bordering if and only if every regular matrix over R has a rank factorization and if and only if every finitely generated projectiv
Factorization of matrices over division
โ
G. V. Babnikov
๐
Article
๐
1978
๐
SP MAIK Nauka/Interperiodica
๐
English
โ 272 KB
Products of involutory matrices over rin
โ
F.A. Arlinghaus; L.N. Vaserstein; Hong You
๐
Article
๐
1995
๐
Elsevier Science
๐
English
โ 440 KB
Similarity of matrices over local rings
โ
Robert M. Guralnick
๐
Article
๐
1981
๐
Elsevier Science
๐
English
โ 819 KB
Determinants of matrices over noncommuta
โ
I. M. Gel'fand; V. S. Retakh
๐
Article
๐
1991
๐
Springer US
๐
English
โ 918 KB