๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Diagonalization of matrices over rings

โœ Scribed by Dan Laksov


Book ID
118246103
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
199 KB
Volume
376
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


Diagonalization of matrices over regular
โœ P. Ara; K.R. Goodearl; K.C. O'Meara; E. Pardo ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 725 KB

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

Diagonability of idempotent matrices ove
โœ Guangtian Song; Xuejun Guo ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 83 KB

Let R be an arbitrary ring. In this paper, the following statements are proved: (a) Each idempotent matrix over R can be diagonalized if and only if each idempotent matrix over R has a characteristic vector. (b) An idempotent matrix over R can be diagonalized under a similarity transformation if and