Showing items related by title, author, creator and subject.

• Uniform diagonalisation of matrices over regular rings 

  O'Meara, K. C.; Raphael, R. M. (University of Canterbury. Dept. of Mathematics and Statistics, 2000)

  The fundamental Separativity Problem for vorrNeumann regular rings is shown to be equivalent to a linear algebra problem: for a field F, is there a "uniform formula" for diagonalising a 2 x 2 matrix A over Mn(F), ...

• Diagonalization of matrices over regular rings 

  Ara, Pere; Goodearl, K.R.; O'Meara, K.C.; Pardo, E. (University of Canterbury. Dept. of Mathematics, 1996)

  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 ...

• Separative cancellation for projective modules over exchange rings 

  Ara, Pare; Goodearl, K.R.; O'Meara, K.C.; Pardo, E. (University of Canterbury. Dept. of Mathematics, 1996)

  A separative ring is one whose finitely generated projective modules satisfy the property A ⊕ A ≅ A ⊕ B ≅ B ⊕ B ⟹ A ≅ B. This condition is shown to provide a key to a number of outstanding cancellation problems for ...