A primitive ring which is a sum of two Wedderburn radical subrings
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- by A. V. Kelarev PDF
- Proc. Amer. Math. Soc. 125 (1997), 2191-2193 Request permission
Abstract:
We give an example of a primitive ring which is a sum of two Wedderburn radical subrings. This answers an open question and simplifies the proof of the known theorem that there exists a ring which is not nil but is a sum of two locally nilpotent subrings.References
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Additional Information
- A. V. Kelarev
- Affiliation: Department of Mathematics, University of Tasmania, G.P.O. Box 252 C, Hobart, Tasmania 7001, Australia
- Email: kelarev@hilbert.maths.utas.edu.au
- Received by editor(s): July 16, 1996
- Additional Notes: The author was supported by a grant of the Australian Research Council.
- Communicated by: Ken Goodearl
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 2191-2193
- MSC (1991): Primary 16N40; Secondary 16N60
- DOI: https://doi.org/10.1090/S0002-9939-97-04169-5
- MathSciNet review: 1425128