Serre’s condition $R_k$ for associated graded rings
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- by Mark Johnson and Bernd Ulrich PDF
- Proc. Amer. Math. Soc. 127 (1999), 2619-2624 Request permission
Abstract:
A criterion is given for when the associated graded ring of an ideal satisfies Serre’s condition $R_{k}$. As an application, the integrality and quasi-Gorensteinness of such rings is investigated.References
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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
- MR Author ID: 175910
- Email: ulrich@math.msu.edu
- 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
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 127 (1999), 2619-2624
- MSC (1991): Primary 13A30; Secondary 13H10
- DOI: https://doi.org/10.1090/S0002-9939-99-04841-8
- MathSciNet review: 1600093