ON THE RADICALS OF STRUCTURAL MATRIX-RINGS

Authors
Citation
S. Veldsman, ON THE RADICALS OF STRUCTURAL MATRIX-RINGS, Monatshefte fuer Mathematik, 122(3), 1996, pp. 227-238
Citations number
10
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
ISSN journal
00269255
Volume
122
Issue
3
Year of publication
1996
Pages
227 - 238
Database
ISI
SICI code
0026-9255(1996)122:3<227:OTROSM>2.0.ZU;2-E
Abstract
The relationship between the radical of a ring R and a structural matr ix ring over R has been determined for some radicals. We continue thes e investigations, amongst others, determining exactly which radicals g amma have the property (rho,R))=M(rho(s),gamma(R))++M(rho(a),gamma(+)( R)) for any structural matrix ring M(rho,R) and finding beta(M(rho,R)) for any hereditary subidempotent radical beta.