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

 

Finite rank Butler groups and torsion-free modules over a discrete valuation ring


Authors: D. M. Arnold, M. Dugas and K. M. Rangaswamy
Journal: Proc. Amer. Math. Soc. 129 (2001), 325-335
MSC (1991): Primary 20K15, 20K26
Published electronically: August 29, 2000
MathSciNet review: 1707503
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Abstract:

Fully faithful functors from isomorphism at $p$ categories of finite rank Butler groups to torsion-free modules of finite rank over the integers localized at a prime $p$ 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.


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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: http://dx.doi.org/10.1090/S0002-9939-00-05547-7
PII: S 0002-9939(00)05547-7
Received by editor(s): April 15, 1999
Published electronically: 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
Article copyright: © Copyright 2000 American Mathematical Society