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Serre's condition  for associated graded rings
Author(s):
Mark
Johnson;
Bernd
Ulrich
Journal:
Proc. Amer. Math. Soc.
127
(1999),
2619-2624.
MSC (1991):
Primary 13A30;
Secondary 13H10
Posted:
April 23, 1999
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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.
References:
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- W. Bruns and J. Herzog, Cohen-Macaulay rings, Cambridge University Press, Cambridge, 1993. MR 95h:13020
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- C. Huneke, On the associated graded ring of an ideal, Illinois J. Math. 26 (1982), 121-137. MR 83d:13029
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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:
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
Copyright of article:
Copyright
1999,
American Mathematical Society
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