On von Neumann regular rings with weak comparability

✍ Scribed by Mamoru Kutami

• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 150 KB
• Volume: 265
• Category: Article
• ISSN: 0021-8693
• DOI: 10.1016/s0021-8693(03)00258-8

✦ Synopsis

In 1991, K.C. O'Meara first defined the notion of weak comparability for regular rings, and he showed that every simple directly finite regular ring with weak comparability is unit-regular. In this paper, we investigate properties for regular rings with weak comparability, and we show that the strict cancellation property and the strict unperforation property hold for the family of directly finite finitely generated projective modules over these rings.