Subgroups of the Adjoint Group of a Radical Ring

Author:

Amberg B.,Dickenschied O.,Sysak YA. P.

Abstract

AbstractIt is shown that the adjoint group R° of an arbitrary radical ring R has a series with abelian factors and that its finite subgroups are nilpotent. Moreover, some criteria for subgroups of R° to be locally nilpotent are given.

Publisher

Canadian Mathematical Society

Subject

General Mathematics

Cited by 12 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. On two-sided skew braces;Journal of Algebra;2023-10

2. Torsion subgroups, solvability and the Engel condition in associative rings;Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas;2022-05-28

3. The structure monoid and algebra of a non-degenerate set-theoretic solution of the Yang–Baxter equation;Transactions of the American Mathematical Society;2019-06-17

4. Generating Adjoint Groups;Proceedings of the Edinburgh Mathematical Society;2019-01-30

5. A note on set-theoretic solutions of the Yang–Baxter equation;Journal of Algebra;2018-04

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