Algebras whose multiplication algebra is PI or GPI

JOURNAL OF ALGEBRA

卷:459

Article

Cabrera, M.¹  Fernandez Lopez, A.²  Golubkov, A. Yu³  Moreno, A.¹ 

[1] Univ Granada, Fac Ciencias, Dept Anal Matemat, E-18071 Granada, Spain

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

[3] Bauman Moscow Sate Tech Univ, Fac Informat & Control Syst, Moscow, Russia

关键词: Non-associative algebras;    Polynomial identities;    Generalized polynomial identities;    PI-theory;    GPI-theory;   

DOI  :  10.1016/j.jalgebra.2016.04.009

来源: Elsevier

【 摘 要 】

We obtain nonassociative extensions of some basic results in the associative PI and GPI theories, such as Regev's tensor product PI-theorem, Kaplansky's primitive PI-theorem, Posner's prime PI-theorem, Amitsur's primitive GPI-theorem, and Martindale's prime GPI-theorem. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free