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A characterization of systems of parameters

Author(s): Sankar P. Dutta; Paul C. Roberts
Journal: Proc. Amer. Math. Soc. 124 (1996), 671-675.
MSC (1991): Primary 13C14, 13C15
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Abstract: A criterion is given for a set of elements to form a system of parameters on a module over a local ring.

References:

1.: E. Kunz, Residuen von Differentialformen auf Cohen-Macaulay-Varietäten, Math. Z. 152 (1977), 165--189. MR 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, Inst. Hautes Études Sci. Publ. Math. 42 (1973), 47--119. MR 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: 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
Copyright of article: Copyright 1996, American Mathematical Society


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