Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Normal subgroups of the general linear groups over von Neumann regular rings
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by L. N. Vaserstein
Proc. Amer. Math. Soc. 96 (1986), 209-214
DOI: https://doi.org/10.1090/S0002-9939-1986-0818445-7

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 ${\text {G}}{{\text {L}}_n}A,n \geq 3$, which are normalized by elementary matrices.
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Bibliographic Information
  • © Copyright 1986 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 96 (1986), 209-214
  • MSC: Primary 16A30; Secondary 16A54, 18F25, 19B14, 20H25
  • DOI: https://doi.org/10.1090/S0002-9939-1986-0818445-7
  • MathSciNet review: 818445