Geodesic
Identities of prime alternative algebras
Algebra i logika, Tome 59 (2020) no. 2, pp. 215-238

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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
Mots-clés : Skosyrskii algebra. 
@article{AL_2020_59_2_a3,
     author = {S. V. Pchelintsev},
     title = {Identities of prime alternative algebras},
     journal = {Algebra i logika},
     pages = {215--238},
     publisher = {mathdoc},
     volume = {59},
     number = {2},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2020_59_2_a3/}
}
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S. V. Pchelintsev. Identities of prime alternative algebras. Algebra i logika, Tome 59 (2020) no. 2, pp. 215-238. http://geodesic.mathdoc.fr/item/AL_2020_59_2_a3/