### 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 |

Publication status | Published - 1996 |

### Fingerprint

### Keywords

- Radicals
- Structural matrix rings

### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

*Monatshefte fur Mathematik*,

*122*(3), 227-238.

**On the radicals of structural matrix rings.** / Veldsman, Stefan.

Research output: Contribution to journal › Article

*Monatshefte fur Mathematik*, vol. 122, no. 3, pp. 227-238.

}

TY - JOUR

T1 - On the radicals of structural matrix rings

AU - Veldsman, Stefan

PY - 1996

Y1 - 1996

N2 - 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.

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.

KW - Radicals

KW - Structural matrix rings

UR - http://www.scopus.com/inward/record.url?scp=0030471149&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0030471149&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0030471149

VL - 122

SP - 227

EP - 238

JO - Monatshefte fur Mathematik

JF - Monatshefte fur Mathematik

SN - 0026-9255

IS - 3

ER -