Prime Algebras Connected With Monsters

被引：0
|
作者：
S. V. Pchelintsev
机构：
[1] Financial University Under the Government of the Russian Federation,
[2] Sobolev Institute of Mathematics,undefined
来源：
Siberian Mathematical Journal | 2018年 / 59卷
关键词：
Jordan algebra; (−1, 1)-algebra; monster; prime algebra; metaideal;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study the overalgebras and the ideals of the Jordan algebras possessing prime (−1, 1)-envelopings. If a Jordan algebra possesses a prime nonassociative (−1, 1)-enveloping then we prove that it is also prime; furthermore, its every ideal is a prime algebra. In particular, the overalgebras and metaideals of Jordan monsters are prime.
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收藏
页码：341 / 356
页数：15
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