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Finite rank Butler groups and torsion-free modules over a discrete valuation ring
Author(s):
D.
M.
Arnold;
M.
Dugas;
K.
M.
Rangaswamy
Journal:
Proc. Amer. Math. Soc.
129
(2001),
325-335.
MSC (1991):
Primary 20K15, 20K26
Posted:
August 29, 2000
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Abstract:
Fully faithful functors from isomorphism at  categories of finite rank Butler groups to torsion-free modules of finite rank over the integers localized at a prime  are constructed via categories of representations of antichains over discrete valuation rings. Descriptions and properties of modules in the images of these functors are given, including a characterization of finite representation type and a complete list of indecomposables in that case.
References:
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Additional Information:
D.
M.
Arnold
Affiliation:
Department of Mathematics, Baylor University, Waco, Texas 76798-7328
Email:
David_Arnold@baylor.edu
M.
Dugas
Affiliation:
Department of Mathematics, Baylor University, Waco, Texas 76798-7328
Email:
dugasm@baylor.edu
K.
M.
Rangaswamy
Affiliation:
Department of Mathematics, University of Colorado, Colorado Springs, Colorado 80933-7150
Email:
ranga@math.uccs.edu
DOI:
10.1090/S0002-9939-00-05547-7
PII:
S 0002-9939(00)05547-7
Received by editor(s):
April 15, 1999
Posted:
August 29, 2000
Additional Notes:
The first and second authors' research was supported, in part, by the Baylor University Summer Sabbatical Program
The third author's research was done when this author visited Baylor University. He gratefully acknowledges the hospitality of the Mathematics Department and its faculty
Communicated by:
Lance W. Small
Copyright of article:
Copyright
2000,
American Mathematical Society
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