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A Note on the Monomial Conjecture
Author(s):
S.
P.
Dutta
Journal:
Trans. Amer. Math. Soc.
350
(1998),
2871-2878.
MSC (1991):
Primary 13D02;
Secondary 13H10
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Abstract:
Several cases of the monomial conjecture are proved. An equivalent form of the direct summand conjecture is discussed.
References:
- [D1]
- S. P. Dutta, On the Canonical Element Conjecture, Trans. Amer. Math. Soc. 299 (1987), 803-811. MR 87m:13028
- [D2]
- S. P. Dutta, Syzygies and Homological Conjectures, Commutative Algebra, MSRI Publ. Springer-Verlag, New York, 1989, 205-219. MR 90i:13015
- [D3]
- S. P. Dutta, Dualizing Complex and the Canonical Element Conjecture, Journal of the London Math. Soc. (2) 50 (1994), 477-487. MR 95k:13019
- [D4]
- S. P. Dutta, Dualizing Complex and the Canonical Element Conjecture II, Journal of the London Math. Society (2) 56 (1997), 49-63. CMP 97:16
- [G]
- S. Goto, On the Associated Graded Rings of Parameter Ideals in Buchsbaum Rings, J. Algebra 85 (1983), 490-534. MR 85d:13032
- [H1]
- M. Hochster, Contracted Ideals From Integral Extensions of Regular Rings, Nagoya Math. J. 51 (1973), 25-43. MR 50:2149
- [H2]
- M. Hochster, Canonical Elements in Local Cohomology Modules and the Direct Summand Conjecture, J. Algebra 84 (1983), 503-553. MR 85j:13021
- [K]
- J. Koh, Degree
extensions of an unramified regular local ring of mixed characteristic , Algebra 99 (1986), 310-323. MR 87j:13027 - [L]
- S. Lichtenbaum, On the Vanishing of Tor in Regular Local Rings, Illinois J. Math. 10 (1966), 220-226. MR 32:5688
- [N]
- M. Nagata, Local Rings, Krieger, New York, 1975. MR 57:301
- [Sa]
- P. Samuel, Algèbre Locale, Memorial Sci. Math. 123, Gauthier-Villars, Paris, 1953. MR 14:1012c
- [Se]
- J. P. Serre, Algèbre Locale Multiplicités, 2nd ed., Lecture Notes in Math. 11, Springer-Verlag; Berlin, 1965. MR 34:1352
- [Sh-Z]
- R. Y. Sharp and H. Zakeri, Generalized Fractions and the Monomial Conjecture, J. Algebra 92 (1985), 380-388. MR 86c:13013
- [Str-Stü]
- J. R. Strooker and J. Stückrad, Monomial Conjecture and Complete Intersections, Manuscripta Math. 79 (1993), 153-159. MR 94c:13026
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Additional Information:
S.
P.
Dutta
Affiliation:
Department of Mathematics, University of Illinois, 1409 West Green Street, Urbana, Illinois 61801,
Email:
dutta@math.uiuc.edu
DOI:
10.1090/S0002-9947-98-02158-8
PII:
S 0002-9947(98)02158-8
Received by editor(s):
July 20, 1996
Additional Notes:
This work was partially supported by an NSA grant and an NSF grant.
Copyright of article:
Copyright
1998,
American Mathematical Society
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