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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 modules which force homogeneous maps to be linear
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by P. R. Fuchs PDF
Proc. Amer. Math. Soc. 128 (2000), 5-15 Request permission

Abstract:

Let $R$ be a ring with identity. We characterize in terms of the left ideal structure of $R$ when every homogeneous map between nonsingular $R$-modules is linear and answer some earlier questions of the author that remained open.
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Additional Information
  • P. R. Fuchs
  • Affiliation: Department of Mathematics, Johannes Kepler University, A-4040 Linz, Austria
  • Email: peter.fuchs@jk.uni-linz.ac.at
  • Received by editor(s): June 25, 1997
  • Received by editor(s) in revised form: January 27, 1998
  • Published electronically: September 9, 1999
  • Communicated by: Ken Goodearl
  • © Copyright 1999 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 128 (2000), 5-15
  • MSC (1991): Primary 16D10; Secondary 16D50, 16E50, 16S90
  • DOI: https://doi.org/10.1090/S0002-9939-99-04915-1
  • MathSciNet review: 1610889