Descent of the canonical module in rings with the approximation property
Author:
Christel Rotthaus
Journal:
Proc. Amer. Math. Soc. 124 (1996), 1713-1717
MSC (1991):
Primary 13B35, 13B40, 13D45, 13F40, 13J15
DOI:
https://doi.org/10.1090/S0002-9939-96-03244-3
MathSciNet review:
1307562
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Abstract | References | Similar Articles | Additional Information
Abstract: Let be a local Noetherian Cohen-Macaulay ring with the approximation property. We show that
admits a canonical module.
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- [H] V. Hinich, Rings with approximation property admit a dualizing complex, Math. Nachr. 163 (1993), 289–296. MR 1235073, https://doi.org/10.1002/mana.19931630124
- [HK] F. Herzog and E. Kunz, Der kanonische Modul eines Cohen-Macaulay Rings, Lecture Notes in Math., vol. 238, Springer, New York, 1971.
- [M] Hideyuki Matsumura, Commutative ring theory, Cambridge Studies in Advanced Mathematics, vol. 8, Cambridge University Press, Cambridge, 1986. Translated from the Japanese by M. Reid. MR 879273
- [R] C. Rotthaus, Divisorial ascent in rings with the approximation property, J. of Algebra 178 (1995), 541--560.
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Additional Information
Christel Rotthaus
Affiliation:
Department of Mathematics, Michigan State University, East Lansing, Michigan 48824-1027
Email:
rotthaus@mth.msu.edu
DOI:
https://doi.org/10.1090/S0002-9939-96-03244-3
Keywords:
Canonical modules,
dualizing complexes,
Cohen-Macaulay rings,
approximation property,
excellent local Henselian rings
Received by editor(s):
September 16, 1994
Received by editor(s) in revised form:
December 14, 1994
Additional Notes:
The author gratefully acknowledges partial support from the National Science Foundation
Communicated by:
Wolmer V. Vasconcelos
Article copyright:
© Copyright 1996
American Mathematical Society