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

 

Torsion-free duality is Warfield


Authors: T. Faticoni, H. P. Goeters, C. Vinsonhaler and W. J. Wickless
Journal: Proc. Amer. Math. Soc. 125 (1997), 961-969
MSC (1991): Primary 20K15, 20K40, 20C05
MathSciNet review: 1353383
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Abstract: We show that, under certain natural conditions, a duality discovered by R. B. Warfield, Jr., is the only duality on categories of finite-rank torsion-free modules over Dedekind domains.


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Additional Information

T. Faticoni
Affiliation: Department of Mathematics, Fordham University, Bronx, New York 10458

H. P. Goeters
Affiliation: Department of Mathematics, Auburn University, Auburn, Alabama 36849

C. Vinsonhaler
Affiliation: Department of Mathematics, University of Connecticut, Storrs, Connecticut 06269
Email: vinson@uconnvm.uconn.edu

W. J. Wickless
Email: wjwick@math.uconn.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-97-03619-8
PII: S 0002-9939(97)03619-8
Received by editor(s): March 23, 1995
Received by editor(s) in revised form: September 25, 1995
Communicated by: Wolmer V. Vasconcelos
Article copyright: © Copyright 1997 American Mathematical Society



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