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Rings with Approximation Property Admit a Dualizing Complex

✍ Scribed by V. Hinich

Publisher: John Wiley and Sons
Year: 1993
Tongue: English
Weight: 424 KB
Volume: 163
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.19931630124

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✦ Synopsis

Abstract

Let A be a commutative Noetherian local ring satisfying the approximation property. This means that any system of polynomial equations over A having a solution in the completion Ǎ has also a solution in A. Then A is proven to admit a dualizing complex.

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