Jordan algebras at Jordan elements of semiprime rings with involution

JOURNAL OF ALGEBRA

卷:468

Article

Brox, Jose¹  Garcia, Esther²  Gomez Lozano, Miguel¹ 

[1] Univ Malaga, Dept Algebra Geometria & Topol, E-29071 Malaga, Spain

[2] Univ Rey Juan Carlos, Dept Matemat Aplicada Ciencia & Ingn Mat & Tecnol, Mostoles 28933, Madrid, Spain

关键词: Lie algebra;    Ring with involution;    Ad-nilpotent element;    Local algebra;    Skew-symmetric elements;   

DOI  :  10.1016/j.jalgebra.2016.06.036

来源: Elsevier

【 摘 要 】

In this paper we determine the Jordan algebras associated to ad-nilpotent elements of index at most 3 in Lie algebras R- and Skew(R, *) for semiprime rings R without or with involution *. To do so we first characterize these ad-nilpotent elements. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free