Uniform diagonalisation of matrices over regular rings
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), independently of n? Here P and Q are required to be invertible matrices whose entries are fixed regular algebra expressions in the entries of A.
SubjectsField of Research::01 - Mathematical Sciences::0101 - Pure Mathematics::010101 - Algebra and Number Theory
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