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On the radicals of structural matrix rings
Authors:Stefan Veldsman
Affiliation:(1) Department of Mathematics, University of Port Elizabeth, PO Box 1600, 6000 Port Elizabeth, South Africa
Abstract:The relationship between the radical of a ringR and a structural matrix ring overR has been determined for some radicals. We continue these investigations, amongst others, determining exactly which radicals gamma have the property gamma(M(rgr,R))=M(rgrs,gamma(R))+M(rgra,gamma+(R))for any structural matrix ringM(rgr,R) and finding beta(M(rgr,R)) for any hereditary subidempotent radical beta.
Keywords:16N80  16S50
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