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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
MathSciNet review:
1283547
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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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