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A Tiled Order Having Large Global Dimension

โœ 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

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โœฆ 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.


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