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Rings with Approximation Property Admit a Dualizing Complex
Author(s) -
Hinich V.
Publication year - 1993
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19931630124
Subject(s) - mathematics , noetherian , commutative property , property (philosophy) , polynomial ring , noetherian ring , pure mathematics , local ring , commutative ring , polynomial , ring (chemistry) , algebra over a field , mathematical analysis , chemistry , organic chemistry , epistemology , philosophy
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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