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This article is cited in 16 scientific papers (total in 16 papers)
Isotopes of prime $(-1,1)$- and Jordan algebras
S. V. Pchelintsev Finance Academy under the Government of the Russian Federation, Moscow, Russia
Abstract:
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, homotope, identity, Lie nilpotence.
Received: 09.09.2009
Citation:
S. V. Pchelintsev, “Isotopes of prime $(-1,1)$- and Jordan algebras”, Algebra Logika, 49:3 (2010), 388–423; Algebra and Logic, 49:3 (2010), 262–288
Linking options:
https://www.mathnet.ru/eng/al446 https://www.mathnet.ru/eng/al/v49/i3/p388
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Abstract page: | 390 | Full-text PDF : | 138 | References: | 73 | First page: | 5 |
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