Author(s):
Hartwig, Robert E. 
; Patrício, Pedro
Date: 2007
Persistent ID: http://hdl.handle.net/1822/7338
Origin: RepositóriUM - Universidade do Minho
Subject(s): Regular rings; Roth equivalence
Document details
On Roth's pseudo equivalence over rings
Description
The pseudo-equivalence of a block lower triangular matrix T = [T_{ij}] over a regular ring and its block diagonal matrix D(T) = [T_{ii}] is characterized in terms of suitable Roth consistency conditions. The latter can in turn be expressed in terms of the solvability of certain matrix equations of the form T_{ii}X - YT_{jj} = U_{ij}.
The pseudo-equivalence of a block lower triangular matrix T = [T_{ij}] over a regular ring and its block diagonal matrix D(T) = [T_{ii}] is characterized in terms of suitable Roth consistency conditions. The latter can in turn be expressed in terms of the solvability of certain matrix equations of the form T_{ii}X - YT_{jj} = U_{ij}.
Document Type
Article
Language English
Language English
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