Special identity for Novikov-Jordan algebras

被引：5

作者：

Dzhumadil'daev, A ^{[1
]}

机构：

[1] Math Inst, Alma Ata, Kazakhstan

来源：

COMMUNICATIONS IN ALGEBRA | 2005年 / 33卷 / 05期

关键词：

Jordan algebras; left-symmetric algebras; Lie algebras; Novikov algebras; q-commutators; special identities;

D O I：

10.1081/AGB-200060504

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A commutative algebra with the identity (a * b) * (c * d) - (a * d) * (c * b) = (a, b, c) * d - (a, d, e) * b is called Novikov-Jordan. Example: K[x] under multiplication a * b = partial derivative(ab) is Novikor-Jordan. A special identity for Novikov-Jordan algebras of degree 5 is constructed. Free Novikov-Jordan algebras with q generators are exceptional for any q >= 1.

引用

页码：1279 / 1287

页数：9

共 13 条

[1] A THEORY OF POWER-ASSOCIATIVE COMMUTATIVE ALGEBRAS [J].