Geodesic
Isotopes of prime $(-1,1)$- and Jordan algebras
Algebra i logika, Tome 49 (2010) no. 3, pp. 388-423.

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We deal with adjoint commutator and Jordan algebras of isotopes of prime strictly $(-1,1)$-algebras. It is proved that a system of identities of the form $[x_1,x_2,x_2,x_3,\dots,x_n]$ for $n=2,\dots,5$ is discernible on isotopes of prime $(-1,1)$-algebras. Also it is shown that adjoint Jordan algebras for suitable isotopes of prime $(-1,1)$-algebras may possess distinct sets of identities. In particular, isotopes of a prime Jordan monster have different sets of identities in general.
Keywords: right alternative algebra, strictly $(-1,1)$-algebra, Jordan algebra, prime algebra, isotope, identity, Lie nilpotence.
Mots-clés : homotope 
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S. V. Pchelintsev. Isotopes of prime $(-1,1)$- and Jordan algebras. Algebra i logika, Tome 49 (2010) no. 3, pp. 388-423. http://geodesic.mathdoc.fr/item/AL_2010_49_3_a5/

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