Serre's condition for associated graded rings

Authors:
Mark Johnson and Bernd Ulrich

Journal:
Proc. Amer. Math. Soc. **127** (1999), 2619-2624

MSC (1991):
Primary 13A30; Secondary 13H10

Published electronically:
April 23, 1999

MathSciNet review:
1600093

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Abstract | References | Similar Articles | Additional Information

Abstract: A criterion is given for when the associated graded ring of an ideal satisfies Serre's condition . As an application, the integrality and quasi-Gorensteinness of such rings is investigated.

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Additional Information

**Mark Johnson**

Affiliation:
Department of Mathematics, University of Arkansas, Fayetteville, Arkansas 72701

Email:
mark@math.uark.edu

**Bernd Ulrich**

Affiliation:
Department of Mathematics, Michigan State University, East Lansing, Michigan 48824

Email:
ulrich@math.msu.edu

DOI:
https://doi.org/10.1090/S0002-9939-99-04841-8

Received by editor(s):
September 15, 1997

Received by editor(s) in revised form:
December 1, 1997

Published electronically:
April 23, 1999

Additional Notes:
The second author was partially supported by the NSF

Communicated by:
Wolmer V. Vasconcelos

Article copyright:
© Copyright 1999
American Mathematical Society