On modules which force homogeneous maps to be linear
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- by P. R. Fuchs
- Proc. Amer. Math. Soc. 128 (2000), 5-15
- DOI: https://doi.org/10.1090/S0002-9939-99-04915-1
- Published electronically: September 9, 1999
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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.References
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Bibliographic 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