The Maximal Symmetric Ring of Quotients

✍ Scribed by Scott Lanning

• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 471 KB
• Volume: 179
• Category: Article
• ISSN: 0021-8693
• DOI: 10.1006/jabr.1996.0003

✦ Synopsis

The maximal symmetric ring of quotients Q R , as defined by Utumi, is a symmetric version of the maximal ring of quotients of R. For the most part, we w x study this ring when R s K G is a group algebra. For example, we show that if G w x Ž . is a free product of groups and if R s K G is a domain, then Q R is usually Ž . equal to R. On the other hand, there are certainly groups for which Q R is properly larger than R and we construct a number of such examples.