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Sibirskii Matematicheskii Zhurnal, 2018, Volume 59, Number 2, Pages 433–452
DOI: https://doi.org/10.17377/smzh.2018.59.217 (Mi smj2984) 		 
Prime algebras connected with monsters

S. V. Pchelintsevab

a Financial University Under the Government of the Russian Federation, Moscow, Russia
b Sobolev Institute of Mathematics, Novosibirsk, Russia
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DOI: https://doi.org/10.17377/smzh.2018.59.217
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.
Keywords: Jordan algebra, $(-1,1)$-algebra, monster, prime algebra, metaideal.
Funding agency Grant number
Russian Science Foundation 14-21-00065
The author was supported by the Russian Science Foundation (Grant 14-21-00065).
Received: 23.05.2017
English version:
Siberian Mathematical Journal, 2018, Volume 59, Issue 2, Pages 341–356
DOI: https://doi.org/10.1134/S0037446618020179
Bibliographic databases:
Document Type: Article
UDC: 512.554.5
MSC: 35R30
Language: Russian
Citation: S. V. Pchelintsev, “Prime algebras connected with monsters”, Sibirsk. Mat. Zh., 59:2 (2018), 433–452; Siberian Math. J., 59:2 (2018), 341–356
Citation in format AMSBIB
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    		Сибирский математический журнал Siberian Mathematical Journal
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