What is a system of parameters?
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- by Louiza Fouli and Craig Huneke PDF
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Abstract:
In this paper we discuss various refinements and generalizations of a theorem of Sankar Dutta and Paul Roberts. Their theorem gives a criterion for $d$ elements in a $d$-dimensional Noetherian Cohen-Macaulay local ring to be a system of parameters, i.e., to have height $d$. We chiefly remove the assumption that the ring be Cohen-Macaulay and discuss similar theorems.References
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Additional Information
- Louiza Fouli
- Affiliation: Department of Mathematical Sciences, New Mexico State University, Las Cruces, New Mexico 88003
- MR Author ID: 835733
- Email: lfouli@math.nmsu.edu
- Craig Huneke
- Affiliation: Department of Mathematics, University of Kansas, Lawrence, Kansas 66045
- MR Author ID: 89875
- Email: huneke@math.ku.edu
- Received by editor(s): March 15, 2010
- Received by editor(s) in revised form: August 2, 2010
- Published electronically: February 8, 2011
- Additional Notes: The first author was partially supported by the NSF-AWM Mentoring Travel Grant, grant DMS-0839954. She thanks the Department of Mathematics at the University of Kansas for its hospitality.
The second author was partially supported by the National Science Foundation, grant DMS-0756853. - Communicated by: Irena Peeva
- © Copyright 2011
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 139 (2011), 2681-2696
- MSC (2010): Primary 13A35, 13C40, 13D45
- DOI: https://doi.org/10.1090/S0002-9939-2011-10790-1
- MathSciNet review: 2801607