On some minimal supervarieties of exponential growth

JOURNAL OF ALGEBRA

卷:368

Article

Di Vincenzo, Onofrio Mario²  Spinelli, Ernesto¹ 

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

[2] Univ Basilicata, Dipartimento Matemat & Informat, I-85100 Potenza, Italy

关键词: Superalgebras;    Polynomial identities;    Superexponent;   

DOI  :  10.1016/j.jalgebra.2012.07.005

来源: Elsevier

【 摘 要 】

In the present paper we investigate minimal supervarieties of given superexponent over fields of characteristic zero. We show that any minimal supervariety of finite basic rank is generated by one of the minimal superalgebras, introduced by Giambruno and Zaicev in 2003. Furthermore it is proved that any minimal superalgebra, whose graded simple components of the semisimple part are simple, generates a minimal supervariety. Finally we state that the same conclusion holds when the semisimple part of a minimal superalgebra has exactly two arbitrary graded simple components. (c) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free