Diagonalization of matrices over regular rings
type: Item
instance of: scholarly article
title: Diagonalization of matrices over regular rings
zbMATH Open document ID: 0883.15006
DOI: 10.1016/S0024-3795(96)00596-4
author: Kenneth R. Goodearl
author: K. C. O'Meara
author: Pere Ara
author: Enrique Pardo Espino
published in: Linear Algebra and its Applications
publication date: 1998-03-22T00:00:00Z
review text: Square matrices are shown to be diagonalizable over all known classes of (von Neumann) regular rings. The 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.
Mathematics Subject Classification ID: 15A21
Mathematics Subject Classification ID: 16D70
zbMATH DE Number: 1076375
zbMATH Keywords: square matrix
zbMATH Keywords: von Neumann regular rings
zbMATH Keywords: diagonalization
zbMATH Keywords: projective modules
zbMATH Keywords: exchange rings
zbMATH Keywords: regular matrices
reviewed by: Giacomo Bonanno
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1076375