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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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On $k$-reflexive representations of algebras
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by K. R. Fuller, W. K. Nicholson and J. F. Watters PDF
Proc. Amer. Math. Soc. 125 (1997), 47-50 Request permission

Abstract:

Module theoretic methods are employed to obtain simple proofs of extensions of two theorems of E. A. Azoff regarding the reflexivity of direct sums of copies of an algebra of operators on a finite dimensional Hilbert space.
References
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Additional Information
  • K. R. Fuller
  • Affiliation: Department of Mathematics, University of Iowa, Iowa City, Iowa 52242
  • Email: kfuller@math.uiowa.edu
  • W. K. Nicholson
  • Affiliation: Department of Mathematics and Statistics, University of Calgary, Calgary, Alberta, Canada T2N 1N4
  • Email: wknichol@math.ucalgary.ca
  • J. F. Watters
  • Affiliation: Department of Mathematics and Computer Science, University of Leicester, Leicester, England Le1 7RH
  • Email: jfw@leicester.ac.uk
  • Received by editor(s): July 14, 1995
  • Additional Notes: This research was supported by NATO Collaborative Research Grant 920159 and NSERC Grant A 8075
  • Communicated by: Ken Goodearl
  • © Copyright 1997 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 125 (1997), 47-50
  • MSC (1991): Primary 16P10; Secondary 47D15
  • DOI: https://doi.org/10.1090/S0002-9939-97-03666-6
  • MathSciNet review: 1363461