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Witt's theorem for noncommutative semilocal rings

โœ Scribed by H Reiter


Publisher
Elsevier Science
Year
1975
Tongue
English
Weight
918 KB
Volume
35
Category
Article
ISSN
0021-8693

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โœ Q.-S Wu; J.J Zhang ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 137 KB

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.