Prime Algebras Connected With Monsters |
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| Authors: | S V Pchelintsev |
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| Institution: | 1.Financial University Under the Government of the Russian Federation,Moscow,Russia;2.Sobolev Institute of Mathematics,Novosibirsk,Russia |
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| Abstract: | 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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