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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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Composition series of modules over Prüfer domains
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by Bruce Olberding PDF
Proc. Amer. Math. Soc. 127 (1999), 1917-1921 Request permission

Abstract:

A weakened version of the Jordan-Hölder theorem is shown to hold for torsion-free finite rank modules over an integral domain $R$ precisely when $R$ is a Prüfer domain.
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Additional Information
  • Bruce Olberding
  • Affiliation: Department of Mathematics, Northeast Louisiana University, Monroe, Louisiana 71209
  • MR Author ID: 333074
  • Email: maolberding@alpha.nlu.edu
  • Received by editor(s): April 12, 1997
  • Received by editor(s) in revised form: September 24, 1997
  • Published electronically: February 17, 1999
  • Additional Notes: Some of these results appeared in the author’s Ph.D. dissertation, which was written under the supervision of Professor J. D. Reid at Wesleyan University
  • Communicated by: Wolmer V. Vasconcelos
  • © Copyright 1999 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 127 (1999), 1917-1921
  • MSC (1991): Primary 13F05, 13C05; Secondary 15A75, 20K15
  • DOI: https://doi.org/10.1090/S0002-9939-99-04760-7
  • MathSciNet review: 1487333