Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

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
MathSciNet review: 1425128
Full-text PDF Free Access

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?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 16N40, 16N60

Retrieve articles in all journals with MSC (1991): 16N40, 16N60


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/S0002-9939-97-04169-5
PII: S 0002-9939(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