The link between regularity and strong-pi-regularity
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.
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| Formato: | article |
| Idioma: | eng |
| Publicado em: |
2010
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| Texto completo: | http://hdl.handle.net/1822/11156 |
| País: | Portugal |
| Oai: | oai:repositorium.sdum.uminho.pt:1822/11156 |
| Resumo: | 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. |
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