DIAGONALIZATION OF MATRICES OVER REGULAR-RINGS

Authors
ARA P GOODEARL KR OMEARA KC PARDO E
Citation
P. Ara et al., DIAGONALIZATION OF MATRICES OVER REGULAR-RINGS, Linear algebra and its applications, 265, 1997, pp. 147-163
Citations number
19
Categorie Soggetti
Mathematics,Mathematics
Journal title
Linear algebra and its applications → ACNP
ISSN journal
00243795
Volume
265
Year of publication
1997
Pages
147 - 163
Database
ISI
SICI code
0024-3795(1997)265:<147:DOMOR>2.0.ZU;2-5
Abstract
Square matrices are shown to be diagonalizable over all known classes of (von Neumann) regular rings. This diagonalizability is equivalent t o a cancellation property for finitely generated projective modules wh ich conceivably holds over all regular rings. These results are proved in greater generality, namely for matrices and modules over exchange rings, where attention is restricted to regular matrices. (C) 1997 Els evier Science Inc.