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Algebra Logika, 2020, Volume 59, Number 2, Pages 215–238 (Mi al944)  

Identities of prime alternative algebras

S. V. Pchelintsevab

a Moscow Center for Fundamental and Applied Mathematics
b Financial University under the Government of the Russian Federation, Moscow

Abstract: An identity of degree 6 is given which is satisfied in an alternative monster and in a Skosyrskii algebra. It is proved that this identity is not a consequence of the alternativity identity, the commutativity identity, and an identity of nil-index 3. Also it is the only identity of degree at most 6, which is not a consequence of the identities mentioned. Therefore, the alternative monster and the Skosyrskii algebra are known to satisfy five independent identities.

Keywords: identity, independence of identities, alternative monster, Skosyrskii algebra.

Funding Agency Grant Number
Moscow Center of Fundamental and Applied Mathematics


DOI: https://doi.org/10.33048/alglog.2020.59.204

Full text: PDF file (280 kB)
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English version:
Algebra and Logic, 2020, 59:2, 147–164

Bibliographic databases:

UDC: 512.554.5
Received: 02.10.2019
Revised: 14.07.2020

Citation: S. V. Pchelintsev, “Identities of prime alternative algebras”, Algebra Logika, 59:2 (2020), 215–238; Algebra and Logic, 59:2 (2020), 147–164

Citation in format AMSBIB
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\pages 215--238
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