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A characterization of closure operations that induce big Cohen-Macaulay modules
Author(s):
Geoffrey
D.
Dietz
Journal:
Proc. Amer. Math. Soc.
138
(2010),
3849-3862.
MSC (2000):
Primary 13C14;
Secondary 13A35
Posted:
May 24, 2010
MathSciNet review:
2679608
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Abstract:
The intent of this paper is to present a set of axioms that are sufficient for a closure operation to generate a balanced big Cohen-Macaulay module  over a complete local domain  . Conversely, we show that if such a  exists over  , then there exists a closure operation that satisfies the given axioms.
References:
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- [D]
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Additional Information:
Geoffrey
D.
Dietz
Affiliation:
Department of Mathematics, Gannon University, Erie, Pennsylvania 16541
Email:
gdietz@member.ams.org
DOI:
10.1090/S0002-9939-2010-10417-3
PII:
S 0002-9939(2010)10417-3
Received by editor(s):
October 28, 2009
Received by editor(s) in revised form:
January 30, 2010
Posted:
May 24, 2010
Communicated by:
Bernd Ulrich
Copyright of article:
Copyright
2010,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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