ISOTOPES OF PRIME (-1,1)-AND JORDAN ALGEBRAS

被引：0
|
作者：
Pchelintsev, S. V. [1 ]
机构：
[1] Govt Russian Federat, Finance Acad, Moscow 125468, Russia
来源：
ALGEBRA AND LOGIC | 2010年 / 49卷 / 03期
关键词：
right alternative algebra; strictly (-1,1)-algebra; Jordan algebra; prime algebra; isotope; homotope; identity; Lie nilpotence; RIGHT ALTERNATIVE RINGS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We deal with adjoint commutator and Jordan algebras of isotopes of prime strictly (-1, 1)-algebras. It is proved that a system of identities of the form [x(1), x(2), x(2), x(3),...,x(n)] for n = 2,...,5 is discernible on isotopes of prime (-1, 1)-algebras. Also it is shown that adjoint Jordan algebras for suitable isotopes of prime (-1, 1)-algebras may possess distinct sets of identities. In particular, isotopes of a prime Jordan monster have different sets of identities in general.
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页码：262 / 288
页数：27
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