RINGS WHICH ARE SUMS OF 2 SUBRINGS

Authors
KEPCZYK M PUCZYLOWSKI ER
Citation
M. Kepczyk et Er. Puczylowski, RINGS WHICH ARE SUMS OF 2 SUBRINGS, Journal of pure and applied algebra, 133(1-2), 1998, pp. 151-162
Citations number
21
Categorie Soggetti
Mathematics,Mathematics,Mathematics,Mathematics
Journal title
Journal of pure and applied algebra → ACNP
ISSN journal
00224049
Volume
133
Issue
1-2
Year of publication
1998
Pages
151 - 162
Database
ISI
SICI code
0022-4049(1998)133:1-2<151:RWASO2>2.0.ZU;2-X
Abstract
The main results concern radicals and polynomial identities of rings w hich are sums of two subrings. It is proved that a ring which is a sum of a nil subring of bounded index and a ring satisfying a polynomial identity also satisfies a polynomial identity. Filds which are sums of two Jacobson radical subrings are classified. Several open questions are answered. (C) 1998 Elsevier science B.V. All rights reserved.