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Homological identities for differential graded algebras

✍ Scribed by Anders Frankild; Peter Jørgensen

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
168 KB
Volume
265
Category
Article
ISSN
0021-8693

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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.