A characterization of systems of parameters

A characterization of systems of parameters
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Proc. Amer. Math. Soc. 124 (1996), 671-675

DOI: https://doi.org/10.1090/S0002-9939-96-02955-3

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

References

Ernst Kunz, Residuen von Differentialformen auf Cohen-Macaulay-Varietäten, Math. Z. 152 (1977), no. 2, 165–189 (German). MR 480516, DOI 10.1007/BF01214187
F. S. Macaulay, The algebraic theory of modular systems, Cambridge Tracts in Math., vol. 19, Cambridge Univ. Press, Cambridge, 1916.
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 374130

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Bibliographic 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
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
Journal: Proc. Amer. Math. Soc. 124 (1996), 671-675
MSC (1991): Primary 13C14, 13C15
DOI: https://doi.org/10.1090/S0002-9939-96-02955-3
MathSciNet review: 1283547