Nilpotent Inner Derivations of the Skew Elements of Prime Rings With Involution

Author:

Martindale W. S.,Miers C. Robert

Abstract

AbstractLet R be a prime ring with invoution *, of characteristic 0, with skew elements K and extended centroid C. Let aK be such that (ad a)n =0 on K. It is shown that one of the following possibilities holds: (a) R is an order in a 4-dimensional central simple algebra, (b) there is a skew element λ in C such that , (c) * is of the first kind, n ≡ 0 or n ≡ 3 (mod 4), and . Examples are given illustrating (c).

Publisher

Canadian Mathematical Society

Subject

General Mathematics

Cited by 10 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. Ad-Nilpotent Elements of Skew Index in Semiprime Rings with Involution;Bulletin of the Malaysian Mathematical Sciences Society;2021-11-11

2. Nilpotent superderivations in prime superalgebras;Linear and Multilinear Algebra;2021-04-28

3. A Description of Ad-nilpotent Elements in Semiprime Rings with Involution;Bulletin of the Malaysian Mathematical Sciences Society;2021-02-01

4. Ad-nilpotent Elements of Semiprime Rings with Involution;Canadian Mathematical Bulletin;2018-06-01

5. Jordan algebras at Jordan elements of semiprime rings with involution;Journal of Algebra;2016-12

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