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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A characterization of systems of parameters


Authors: Sankar P. Dutta and Paul C. Roberts
Journal: Proc. Amer. Math. Soc. 124 (1996), 671-675
MSC (1991): Primary 13C14, 13C15
MathSciNet review: 1283547
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Abstract | References | Similar Articles | Additional Information

Abstract: A criterion is given for a set of elements to form a system of parameters on a module over a local ring.


References [Enhancements On Off] (What's this?)

  • 1. Ernst Kunz, Residuen von Differentialformen auf Cohen-Macaulay-Varietäten, Math. Z. 152 (1977), no. 2, 165–189 (German). MR 0480516 (58 #676)
  • 2. F. S. Macaulay, The algebraic theory of modular systems, Cambridge Tracts in Math., vol. 19, Cambridge Univ. Press, Cambridge, 1916.
  • 3. C. Peskine and L. Szpiro, Dimension projective finie et cohomologie locale. Applications à la démonstration de conjectures de M. Auslander, H. Bass et A. Grothendieck, Inst. Hautes Études Sci. Publ. Math. 42 (1973), 47–119 (French). MR 0374130 (51 #10330)

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Additional Information

Sankar P. Dutta
Affiliation: Department of Mathematics, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801
Email: dutta@symcom.math.uiuc.edu

Paul C. Roberts
Affiliation: Department of Mathematics, University of Utah, Salt Lake City, Utah 84112
Email: roberts@math.utah.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-96-02955-3
PII: S 0002-9939(96)02955-3
Received by editor(s): January 10, 1994
Received by editor(s) in revised form: May 31, 1994
Additional Notes: The first author was supported in part by a grant from the National Security Agency.
The second author was supported in part by a grant from the National Science Foundation.
Communicated by: Wolmer V. Vasconcelos
Article copyright: © Copyright 1996 American Mathematical Society