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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Coefficient ideals and the Cohen-Macaulay property of Rees algebras


Author: Eero Hyry
Journal: Proc. Amer. Math. Soc. 129 (2001), 1299-1308
MSC (2000): Primary 13A30; Secondary 13B22, 14B05
Published electronically: October 24, 2000
MathSciNet review: 1712905
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Abstract:

Let $A$ be a local ring and let $I\subset A$ be an ideal of positive height. If $J\subset I$ is a reduction of $I$, then the coefficient ideal $\mathfrak{a}(I,J)$ is by definition the largest ideal $\mathfrak{a}$ such that $I\mathfrak{a}= J\mathfrak{a}$. In this article we study the ideal $\mathfrak{a}(I,J)$ when the Rees algebra $R_A(I)$ is Cohen-Macaulay.


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Additional Information

Eero Hyry
Affiliation: Department of Technology, National Defense College, Santahamina, FIN-00860, Helsinki, Finland
Email: Eero.Hyry@helsinki.fi

DOI: http://dx.doi.org/10.1090/S0002-9939-00-05673-2
PII: S 0002-9939(00)05673-2
Received by editor(s): April 12, 1999
Received by editor(s) in revised form: August 24, 1999
Published electronically: October 24, 2000
Communicated by: Wolmer V. Vasconcelos
Article copyright: © Copyright 2000 American Mathematical Society