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manuscripta mathematica

, Volume 80, Issue 1, pp 13–20 | Cite as

On the Gorenstein property of the associated graded ring of a power of an ideal

  • Eero Hyry
Article

Abstract

It has been proved by Herrmann, Ribbe and Schenzel that in a local ring the Gorensteiness of the associated graded ring of a power of an ideal implies the Gorensteiness of the associated graded ring of the ideal provided it is Cohen-Macaulay and the height of the ideal is at least two. We give a new proof to this theorem which covers also the height one case and so answer to a question of Herrmann, Ribbe and Schenzel whether their result holds for ideals of height one.

Keywords

Exact Sequence Local Ring Residue Field Local Cohomology Local Duality 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1993

Authors and Affiliations

  • Eero Hyry
    • 1
  1. 1.Military Academy SantahaminaHelsinkiFinland

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