Prime Algebras Connected With Monsters


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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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S. Pchelintsev

Financial University Under the Government of the Russian Federation; Sobolev Institute of Mathematics

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Email: pchelinzev@mail.ru
俄罗斯联邦, Moscow; Novosibirsk

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