Uniform diagonalisation of matrices over regular rings

About this item

Title

Uniform diagonalisation of matrices over regular rings

Content partner

University of Canterbury Library

Collection

UC Research Repository

Description

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.

Format

Research paper

Research format

Working or discussion paper

Date created

2000

Creator

O'Meara, K. C. / Raphael, R. M.

URL

http://hdl.handle.net/10092/11860

Related subjects

Mathematical sciences / Pure mathematics / Algebra and number theory

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