Diagonalizing triangular matrices via orthogonal Pierce decompositions

• Autor(es): Hartwig, Robert E. ; Patrício, Pedro ; Puystjens, Roland
• Data: 2005
• Identificador Persistente: http://hdl.handle.net/1822/1249
• Origem: RepositóriUM - Universidade do Minho
• Assunto(s): Rings; Triangular matrices; Von Neumann regularity; Diagonalization
• Tipo de Documento: Artigo
• Idioma: Inglês

Descrição

A class of sufficient conditions is given to ensure that the sum a+b in a ring R, is equivalent to a sum x + y, which is an orthogonal Pierce decomposition. This is then used to show that a lower triangular matrix, with a regular diagonal is equivalent to its diagonal iff the matrix admits a lower triangular von Neumann inverse.