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Dualizing complexes and tilting complexes over simple rings

✍ Scribed by Amnon Yekutieli; James J. Zhang

Book ID
104140276
Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
110 KB
Volume
256
Category
Article
ISSN
0021-8693

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πŸ“œ SIMILAR VOLUMES

Dualizing Complexes over Noncommutative
Dualizing Complexes over Noncommutative Local Rings
✍ Q.-S Wu; J.J Zhang πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 225 KB

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

Rings with Auslander Dualizing Complexes
Rings with Auslander Dualizing Complexes
✍ Amnon Yekutieli; James J. Zhang πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 305 KB

A ring with an Auslander dualizing complex is a generalization of an Auslan-der᎐Gorenstein ring. We show that many results which hold for Auslander᎐Gorenstein rings also hold in the more general setting. On the other hand we give criteria for existence of Auslander dualizing complexes which show the