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. © 1997 Elsevier Science Inc.
|Journal||Linear Algebra and Its Applications|
|Publication status||Published - 1 Nov 1997|