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Composition series of modules
over Prüfer domains
Author:
Bruce Olberding
Journal:
Proc. Amer. Math. Soc. 127 (1999), 1917-1921
MSC (1991):
Primary 13F05, 13C05; Secondary 15A75, 20K15
Posted:
February 17, 1999
MathSciNet review:
1487333
Full-text PDF Free Access
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Additional Information
Abstract: A weakened version of the Jordan-Hölder theorem is shown to hold for torsion-free finite rank modules over an integral domain  precisely when  is a Prüfer domain.
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Additional Information
Bruce Olberding
Affiliation:
Department of Mathematics, Northeast Louisiana University, Monroe, Louisiana 71209
Email:
maolberding@alpha.nlu.edu
DOI:
http://dx.doi.org/10.1090/S0002-9939-99-04760-7
PII:
S 0002-9939(99)04760-7
Keywords:
Pr\"{u}fer domain,
torsion-free module,
exterior algebra
Received by editor(s):
April 12, 1997
Received by editor(s) in revised form:
September 24, 1997
Posted:
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
Article copyright:
© Copyright 1999 American Mathematical Society
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