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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
Posted:
April 23, 1999
MathSciNet review:
1600093
Full-text PDF Free Access
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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:
http://dx.doi.org/10.1090/S0002-9939-99-04841-8
PII:
S 0002-9939(99)04841-8
Received by editor(s):
September 15, 1997
Received by editor(s) in revised form:
December 1, 1997
Posted:
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
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