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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

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
MathSciNet review: 1307562
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Abstract | References | Similar Articles | Additional Information

Abstract: Let $(R,m)$ be a local Noetherian Cohen-Macaulay ring with the approximation property. We show that $R$ admits a canonical module.


References [Enhancements On Off] (What's this?)

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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: http://dx.doi.org/10.1090/S0002-9939-96-03244-3
PII: S 0002-9939(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