Puystjens, R.; van Geel, J. On the diagonalisation of von Neumann regular matrices. (English) Zbl 0596.15012 Acta Univ. Carol., Math. Phys. 26, No. 2, 51-56 (1985). Let R be any ring, associative with unit element, A an \(m\times n\) matrix over R. Then A is said to be von Neumann regular if there exists X over R such that \(AXA=A\). Rings are studied over which von Neumann regular matrices are diagonalizable. Reviewer: S.Zlobec Cited in 2 Documents MSC: 15B33 Matrices over special rings (quaternions, finite fields, etc.) 15A09 Theory of matrix inversion and generalized inverses 15A21 Canonical forms, reductions, classification Keywords:diagonalisation; generalized inverses of matrices; Weyl algebra; von Neumann regular matrices PDFBibTeX XMLCite \textit{R. Puystjens} and \textit{J. van Geel}, Acta Univ. Carol., Math. Phys. 26, No. 2, 51--56 (1985; Zbl 0596.15012) Full Text: EuDML