On the Gorenstein property of the associated graded ring and the Rees algebra of an ideal (Q1210080)
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scientific article; zbMATH DE number 169084
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Gorenstein property of the associated graded ring and the Rees algebra of an ideal |
scientific article; zbMATH DE number 169084 |
Statements
On the Gorenstein property of the associated graded ring and the Rees algebra of an ideal (English)
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16 May 1993
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L'A. généralise les principaux resultats obtenus dans ses articles précédents [J. Pure Appl. Algebra 69, No. 2, 185-191 (1990; Zbl 0723.13005) and J. Algebra 141, No. 1, 143-157 (1991; Zbl 0736.13018)] sur la propriété de Gorenstein pour l'anneau gradué associé à un idéal et de module gradué associé au module canonique. Soient \(R\) un anneau local noethérien d'idéal maximal \(M\) et \(I\) un idéal \(M\)- primaire. On donne aussi des conditions dans lesquelles l'anneau gradué et l'algèbre de Rees associé à \(I^ r\) est un anneau de Gorenstein.
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Gorenstein property
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associated graded ring
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Rees algebra
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