On the Drazin index of regular elements

It is known that the existence of the group inverse $a^\#$ of a ring element $a$ is equivalent to the invertibility of $a^2a^-+1-aa^-$, independently of the choice of the von Neumann inverse $a^-$ of $a$. In this paper, we relate the Drazin index of $a$ with the Drazin index of $a^2a^-+1-aa^-$. We g...

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Detalhes bibliográficos
Autor principal: Patrício, Pedro (author)
Outros Autores: Costa, A. Veloso da (author)
Formato: article
Idioma:eng
Publicado em: 2009
Assuntos:
Texto completo:http://hdl.handle.net/1822/10534
País:Portugal
Oai:oai:repositorium.sdum.uminho.pt:1822/10534