Lie identities for skew and symmetric elements of semiprime superalgebras with superinvolution

JOURNAL OF ALGEBRA

卷:368

Article

Catino, Francesco²  Rizzo, Roberto²  Spinelli, Ernesto¹ 

[1] Univ Roma La Sapienza, Dipartimento Matemat G Castelnuovo, I-00185 Rome, Italy

[2] Univ Salento, Dipartimento Matemat & Fis Ennio De Giorgi, I-73100 Lecce, Italy

关键词: Superalgebras;    Superinvolution;    Skew elements;    Symmetric elements;    Identities;   

DOI  :  10.1016/j.jalgebra.2012.07.007

来源: Elsevier

【 摘 要 】

Let A be a non-trivial semiprime associative superalgebra with superinvolution. In the present note we investigate when the subspaces of symmetric elements or skew elements of A are Lie nilpotent or Lie solvable. We show that these conditions determine the algebraic structure of A. (c) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free