A primitive ring which is a sum of two Wedderburn radical subrings
Author:
A. V. Kelarev
Journal:
Proc. Amer. Math. Soc. 125 (1997), 21912193
MSC (1991):
Primary 16N40; Secondary 16N60
MathSciNet review:
1425128
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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.
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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:
http://dx.doi.org/10.1090/S0002993997041695
PII:
S 00029939(97)041695
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
