Structure of finitely generated commutative alternative algebras and special Moufang loops

被引：0
|
作者：
S. V. Pchelintsev
机构：
[1] The Finance Academy under the Government of the Russian Federation,
来源：
Mathematical Notes | 2006年 / 80卷
关键词：
commutative Moufang loop; central nilpotency; alternative algebra; special Moufang loop; commutator ideal;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
It is proved that the commutator ideal of the multiplication algebra of a free commutative alternative algebra of rank n is nilpotent of index n − 1. As a corollary to this fact, the Bruck theorem for special commutative Moufang loops is derived.
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页码：396 / 402
页数：6
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