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Constructing big indecomposable modules
Author(s):
Andrew
Crabbe;
Janet
Striuli
Journal:
Proc. Amer. Math. Soc.
137
(2009),
2181-2189.
MSC (2000):
Primary 13H10, 13C14, 13E05
Posted:
January 26, 2009
MathSciNet review:
2495250
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Abstract:
Let  be local Noetherian ring of depth at least two. We prove that there are indecomposable  -modules which are free on the punctured spectrum of constant, arbitrarily large, rank.
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Additional Information:
Andrew
Crabbe
Affiliation:
Department of Mathematics, University of Nebraska, Lincoln, Nebraska 68588
Address at time of publication:
Department of Mathematics, Syracuse University, Syracuse, New York 13210
Email:
amcrabbe@syr.edu
Janet
Striuli
Affiliation:
Department of Mathematics, University of Nebraska, Lincoln, Nebraska 68588
Address at time of publication:
Department of Mathematics, Fairfield University, Fairfield, Connecticut 06824
Email:
jstriuli@mail.fairfield.edu
DOI:
10.1090/S0002-9939-09-09760-3
PII:
S 0002-9939(09)09760-3
Keywords:
Indecomposable modules,
maximal Cohen-Macaulay modules,
rank
Received by editor(s):
May 8, 2008,
Received by editor(s) in revised form:
August 29, 2008
Posted:
January 26, 2009
Additional Notes:
The second author was partially supported by NSF grant DMS 0201904
Communicated by:
Bernd Ulrich
Copyright of article:
Copyright
2009,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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