FINITE CONJUGACY IN ALGEBRAS AND ORDERS-Reference-Cited by-同舟云学术

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FINITE CONJUGACY IN ALGEBRAS AND ORDERS

Published:2001-02 Issue:1 Volume:44 Page:201-213
ISSN:0013-0915
Container-title:Proceedings of the Edinburgh Mathematical Society
language:en
Short-container-title:Proceedings of the Edinburgh Mathematical Society

Author:

Dokuchaev M. A.,Juriaans S. O.,Polcino Milies C.,Sobral Singer M. L.

Abstract

AbstractHerstein showed that the conjugacy class of a non-central element in the multiplicative group of a division ring is infinite. We prove similar results for units in algebras and orders and give applications to group rings.AMS 2000 Mathematics subject classification: Primary 16U60. Secondary 16H05; 16S34; 20F24; 20C05

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Minimal non-BFC rings;Algebra and Discrete Mathematics;2023

2. Units in orders and integral semigroup rings;Journal of Algebra;2003-07

3. The finite conjugacy centre of the unit group of integral group rings;Journal of Group Theory;2003-01-07

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