### Abstract

Let A be a von Neumann regular ring or, more generally, let A be an associative ring with 1 whose reduction modulo its Jacobson radical is von Neumann regular. We obtain a complete description of all subgroups of GL_{n}A, n ≥ 3, which are normalized by elementary matrices.

Original language | English (US) |
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Pages (from-to) | 209-214 |

Number of pages | 6 |

Journal | Proceedings of the American Mathematical Society |

Volume | 96 |

Issue number | 2 |

DOIs | |

State | Published - Jan 1 1986 |

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### All Science Journal Classification (ASJC) codes

- Mathematics(all)
- Applied Mathematics

### Cite this

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**Normal subgroups of the general linear groups over Von Neumann regular rings.** / Vaserstein, Leonid N.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Normal subgroups of the general linear groups over Von Neumann regular rings

AU - Vaserstein, Leonid N.

PY - 1986/1/1

Y1 - 1986/1/1

N2 - Let A be a von Neumann regular ring or, more generally, let A be an associative ring with 1 whose reduction modulo its Jacobson radical is von Neumann regular. We obtain a complete description of all subgroups of GLnA, n ≥ 3, which are normalized by elementary matrices.

AB - Let A be a von Neumann regular ring or, more generally, let A be an associative ring with 1 whose reduction modulo its Jacobson radical is von Neumann regular. We obtain a complete description of all subgroups of GLnA, n ≥ 3, which are normalized by elementary matrices.

UR - http://www.scopus.com/inward/record.url?scp=84968466561&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84968466561&partnerID=8YFLogxK

U2 - 10.1090/S0002-9939-1986-0818445-7

DO - 10.1090/S0002-9939-1986-0818445-7

M3 - Article

VL - 96

SP - 209

EP - 214

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 2

ER -