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A primitive ring which is a sum of two Wedderburn radical subrings


Author: A. V. Kelarev
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
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Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)

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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

DOI: https://doi.org/10.1090/S0002-9939-97-04169-5
Keywords: Nilpotent rings, locally nilpotent rings, nil rings
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
Article copyright: © Copyright 1997 American Mathematical Society

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