## On the diagonalisation of von Neumann regular matrices.(English)Zbl 0596.15012

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

### MSC:

 15B33 Matrices over special rings (quaternions, finite fields, etc.) 15A09 Theory of matrix inversion and generalized inverses 15A21 Canonical forms, reductions, classification
Full Text: