Email this article Prime Algebras Connected With Monsters
- Authors: Pchelintsev S.V.1,2
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Affiliations:
- Financial University Under the Government of the Russian Federation
- Sobolev Institute of Mathematics
- Issue: Vol 59, No 2 (2018)
- Pages: 341-356
- Section: Article
- URL: https://journal-vniispk.ru/0037-4466/article/view/171811
- DOI: https://doi.org/10.1134/S0037446618020179
- ID: 171811
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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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About the authors
S. V. Pchelintsev
Financial University Under the Government of the Russian Federation; Sobolev Institute of Mathematics
Author for correspondence.
Email: pchelinzev@mail.ru
Russian Federation, Moscow; Novosibirsk
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