Matrix-Isomorphic MaximalZ-Orders

✍ Scribed by A.W. Chatters

• Book ID: 102569511
• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 124 KB
• Volume: 181
• Category: Article
• ISSN: 0021-8693
• DOI: 10.1006/jabr.1996.0136

✦ Synopsis

We construct many pairwise non-isomorphic maximal Z-orders A and B which have isomorphic n by n matrix rings for every positive integer n / 1. In most cases Ž . A also has the property that every one-sided ideal of M A is principal but not 2 every one-sided ideal of A is principal.