Rings with Approximation Property Admit a Dualizing Complex

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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.

Original languageEnglish
Pages (from-to)289-296
Number of pages8
JournalMathematische Nachrichten
Volume163
Issue number1
DOIs
StatePublished - 1993

ASJC Scopus subject areas

  • General Mathematics

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