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Dualizing Complexes over Noncommutative Local Rings

✍ Scribed by Q.-S Wu; J.J Zhang

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
225 KB
Volume
239
Category
Article
ISSN
0021-8693

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✦ Synopsis

We prove an existence theorem for dualizing complexes over noncommutative noetherian complete semilocal algebras, which generalizes Van den Bergh's existence theorem in the graded case. Using the dualizing complex, noncommutative versions of Bass theorem and the no-holes theorem are proved. We also prove that noetherian complete semilocal algebras satisfying polynomial identities are catenary.

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