A characterization of systems of parameters
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- by Sankar P. Dutta and Paul C. Roberts PDF
- Proc. Amer. Math. Soc. 124 (1996), 671-675 Request permission
Abstract:
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
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
- 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 1996 American Mathematical Society
- 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