Bounds for Hilbert coefficients
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- by Jürgen Herzog and Xinxian Zheng PDF
- Proc. Amer. Math. Soc. 137 (2009), 487-494 Request permission
Abstract:
We compute the Hilbert coefficients of a graded module with pure resolution and prove lower and upper bounds for these coefficients for arbitrary graded modules.References
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Additional Information
- Jürgen Herzog
- Affiliation: Fachbereich Mathematik und Informatik, Universität Duisburg-Essen, Campus Essen, 45117 Essen, Germany
- MR Author ID: 189999
- Email: juergen.herzog@uni-essen.de
- Xinxian Zheng
- Affiliation: Fachbereich Mathematik und Informatik, Universität Duisburg-Essen, Campus Essen, 45117 Essen, Germany
- Email: xinxian.zheng@uni-essen.de
- Received by editor(s): June 4, 2007
- Received by editor(s) in revised form: December 18, 2007, and January 28, 2008
- Published electronically: August 26, 2008
- Additional Notes: The second author is grateful for the financial support provided by DFG (Deutsche Forschungsgemeinschaft) during the preparation of this work
- Communicated by: Bernd Ulrich
- © Copyright 2008
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 137 (2009), 487-494
- MSC (2000): Primary 13H15, 13D40, 13D02
- DOI: https://doi.org/10.1090/S0002-9939-08-09551-8
- MathSciNet review: 2448568