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.

Bibliographic Details
Main Author: Patrício, Pedro (author)
Other Authors: Hartwig, Robert E. (author)
Format: article
Language:eng
Published: 2010
Subjects:
Online Access:http://hdl.handle.net/1822/11156
Country:Portugal
Oai:oai:repositorium.sdum.uminho.pt:1822/11156