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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Finite rank Butler groups and torsion-free modules over a discrete valuation ring
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by D. M. Arnold, M. Dugas and K. M. Rangaswamy PDF
Proc. Amer. Math. Soc. 129 (2001), 325-335 Request permission

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
  • MR Author ID: 144685
  • Email: ranga@math.uccs.edu
  • 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
  • © Copyright 2000 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 129 (2001), 325-335
  • MSC (1991): Primary 20K15, 20K26
  • DOI: https://doi.org/10.1090/S0002-9939-00-05547-7
  • MathSciNet review: 1707503