Nilpotency of Alternative and Jordan Algebras

被引：0
作者：
A. V. Popov
机构：
[1] Ulyanovsk State University,
来源：
Siberian Mathematical Journal | 2021年 / 62卷
关键词：
Jordan algebras; alternative algebras; almost nilpotent varieties; Nagata–Higman Theorem; Engel identity; standard Jordan identity; 512.554.5:7;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study the polynomial identities of alternative and Jordan algebras which imply the nilpotency of the algebras. In the case of a field of characteristic 0 we describe all these systems of identities as well as all almost nilpotent varieties of alternative and Jordan algebras. In particular, we establish a connection between the Engel identity for the Lie algebras and the standard identity for the Jordan algebras.
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页码：148 / 158
页数：10
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