The link between regularity and strong-pi-regularity

• Autor(es): Patrício, Pedro ; Hartwig, Robert E.
• Data: 2010
• Identificador Persistente: http://hdl.handle.net/1822/11156
• Origem: RepositóriUM - Universidade do Minho
• Assunto(s): Drazin inverse; Strongly-pi-regular; Drazin index
• Tipo de Documento: Artigo
• Idioma: Inglês

Descrição

It is shown that if all powers of a ring element $a$ are regular, then $a$ will be strongly-pi-regular exactly when a suitable word in the powers of $a$ and their inner inverses is a unit.