Algebras whose multiplication algebra is PI or GPI

被引：2

作者：

Cabrera, M. ^{[1
]}

Fernandez Lopez, A. ^{[2
]}

Golubkov, A. Yu ^{[3
]}

Moreno, A. ^{[1
]}

机构：

[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

来源：

JOURNAL OF ALGEBRA | 2016年 / 459卷

关键词：

Non-associative algebras; Polynomial identities; Generalized polynomial identities; PI-theory; GPI-theory; CENTRAL CLOSURE; JORDAN ALGEBRAS; RINGS; SEMIPRIMENESS; IDENTITIES; THEOREM;

D O I：

10.1016/j.jalgebra.2016.04.009

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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.

引用

页码：213 / 237

页数：25

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