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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| Format: | article |
| Language: | eng |
| Published: |
2009
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| Online Access: | http://hdl.handle.net/1822/10534 |
| Country: | Portugal |
| Oai: | oai:repositorium.sdum.uminho.pt:1822/10534 |