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Neat idempotents and tiled orders having large global dimension

✍ Scribed by Hisaaki Fujita

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 157 KB
Volume: 256
Category: Article
ISSN: 0021-8693
DOI: 10.1016/s0021-8693(02)00163-1

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✦ Synopsis

We study neat primitive idempotents in a semiperfect Noetherian ring, and as an application, we improve an example of a tiled order having large global dimension given by Jansen and Odenthal. Moreover, another two tiled orders having large global dimension are added and two questions on tiled orders of finite global dimension are posed.

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A Tiled Order Having Large Global Dimension

✍ Willem S. Jansen; Charles J. Odenthal 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 259 KB

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