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Diagonalization of matrices over regular rings

✍ Scribed by P. Ara; K.R. Goodearl; K.C. O'Meara; E. Pardo

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 725 KB
Volume: 265
Category: Article
ISSN: 0024-3795
DOI: 10.1016/s0024-3795(96)00596-4

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✦ Synopsis

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 generality, namely for matrices and modules over exchange rings, where attention is restricted to regular matrices.

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