A Tiled Order Having Large Global Dimension

✍ Scribed by Willem S. Jansen; Charles J. Odenthal

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 259 KB
• Volume: 192
• Category: Article
• ISSN: 0021-8693
• DOI: 10.1006/jabr.1996.6928

✦ Synopsis

The finite global dimension of a tiled order over a discrete valuation ring is bounded by a function of the uniform dimension of the order, but the exact form of w x the function is unknown. Let N be the uniform dimension. A conjecture T1 that w x the bound is N y 1 was disproved F2 by producing an example of global dimension N. We construct, for any even N G 8, a tiled order of uniform dimension N having global dimension 2 N y 8.