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An answer to a question of Kegel on sums of rings

Citation

Kelarev, AV, An answer to a question of Kegel on sums of rings, Canadian Mathematical Bulletin, 41, (1) pp. 79-80. ISSN 0008-4395 (1998) [Refereed Article]

DOI: doi:10.4153/CMB-1998-012-5

Abstract

We construct a ring R which is a sum of two subrings A and B such that the Levitzki radical of R does not contain any of the hyperannihilators of A and B. This answers an open question asked by Kegel in 1964.

Item Details

Item Type:Refereed Article
Research Division:Mathematical Sciences
Research Group:Pure Mathematics
Research Field:Algebra and Number Theory
Objective Division:Expanding Knowledge
Objective Group:Expanding Knowledge
Objective Field:Expanding Knowledge in the Mathematical Sciences
Author:Kelarev, AV (Dr Andrei Kelarev)
ID Code:14011
Year Published:1998
Web of Science® Times Cited:3
Deposited By:Mathematics
Deposited On:1998-08-01
Last Modified:2011-08-09
Downloads:0

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