Talk:Baer ring
 | This article is rated Start-class on Wikipedia's content assessment scale. It is of interest to the following WikiProjects: | ||||||||||
| |||||||||||
It might be better to assume unity
editI have not really seen much evidence that any of these definitions are used in rings without unity. I'm not an operator theorist though, so it could be less rare than I think. If it really is uncommon, then it would seem better to avoid all the "if it has unity... if it has unity..." business. Frankly speaking, I feel like rings without unity are the exception, not the other way around. In any case I would be interested in suggested sources for Baer and Rickart rings without unity, and hearing the opinion from the rings without unity camp. Thanks, Rschwieb (talk) 06:05, 20 March 2011 (UTC) UPDATE: I notice Berberian's contains the phrase "without unity" in some exercises, but still here, it looks like they are only concerned with *-rings, where I gather the definitions are still left-right symmetric. Rschwieb (talk) 20:11, 20 March 2011 (UTC)