Morita-Equivalent Row-Finite Matrix Rings Are Isomorphic

✍ Scribed by J.J. Simon

• Publisher: Elsevier Science
• Year: 1995
• Tongue: English
• Weight: 148 KB
• Volume: 173
• Category: Article
• ISSN: 0021-8693
• DOI: 10.1006/jabr.1995.1093

✦ Synopsis

We show that for any ring (R) and any ring (T), if (\operatorname{RFM}(R)) is Morita equivalent to (T), then (\operatorname{RFM}(R)) is isomorphic to (M_{n}(T)) for some integer (n). We then use this to strengthen some results of Bonami and Camillo. 1995 Academic Press, Inc.