Homological Identities for Noncommutative Rings

✍ Scribed by Q.-S Wu; J.J Zhang

• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 137 KB
• Volume: 242
• Category: Article
• ISSN: 0021-8693
• DOI: 10.1006/jabr.2001.8817

✦ Synopsis

The Auslander-Buchsbaum formula and Bass's theorem are proved for a class of nonlocal, noncommutative algebras (including certain affine PI Hopf algebras). We also show that each filtered noetherian affine PI Hopf algebra has finite injective dimension, which partially answers a question of Brown.