On the radicals of structural matrix rings

Stefan Veldsman

doi:10.1007/BF01320186

On the radicals of structural matrix rings

Stefan Veldsman^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

The relationship between the radical of a ring R and a structural matrix ring over R has been determined for some radicals. We continue these investigations, amongst others, determining exactly which radicals γ have the property γ(M(ρ, R)) = M(ρ_s, γ(R)) + + M(ρ_a,γ^-(R)) for any structural matrix ring M(ρ, R) and finding β(M(ρ, R)) for any hereditary subidempotent radical β.

Original language	English
Pages (from-to)	227-238
Number of pages	12
Journal	Monatshefte fur Mathematik
Volume	122
Issue number	3
DOIs	https://doi.org/10.1007/BF01320186
Publication status	Published - 1996
Externally published	Yes

Keywords

Radicals
Structural matrix rings

ASJC Scopus subject areas

General Mathematics

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10.1007/BF01320186

Cite this

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AB - The relationship between the radical of a ring R and a structural matrix ring over R has been determined for some radicals. We continue these investigations, amongst others, determining exactly which radicals γ have the property γ(M(ρ, R)) = M(ρs, γ(R)) + + M(ρa,γ-(R)) for any structural matrix ring M(ρ, R) and finding β(M(ρ, R)) for any hereditary subidempotent radical β.

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KW - Structural matrix rings

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On the radicals of structural matrix rings

Abstract

Keywords

ASJC Scopus subject areas

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