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.
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页码：1279 / 1287
页数：9
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