Literature Cited
Yu. P. Razmyslov, “Trace identities of full matrix algebras over a field of characteristic zero,” Izv. Akad. Nauk SSSR, Ser. Mat.,38, No. 4, 723–756 (1974).
Dnestr Notebook. Unsolved Problems of the Theory of Rings and Modules [in Russian], Institute of Mathematics, Siberian Branch, Academy of Sciences of the USSR, Novosibirsk (1982).
S. Yu. Vasilovskii, “Trace identities and weak identities of the Jordan algebra of a bilinear form over an infinite field,” in: Abstracts of the Second Conference of Young Scholars of Siberia and the Far East, Novosibirsk (1988), pp. 43–44.
A. I. Mal'tsev, Algebraic Systems [in Russian], Nauka, Moscow (1970).
C. DeConcini and C. Procesi, “A characteristic free approach to invariant theory,” Adv. Math.,21, 330–354 (1976).
N. Jacobson, Structure and Representations of Jordan Algebras, Colloquium Publications Vol. 39, American Mathematical Society, Providence, Rhode Island (1968).
Additional information
In fond memory of Anatolii Illarionovich Shirshov.
Novosibirsk. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 32, No. 6, pp. 19–23, November–December, 1991.
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Vasilovskii, S.Y. Trace identities of the Jordan algebra of a bilinear form. Sib Math J 32, 916–919 (1991). https://doi.org/10.1007/BF00971194
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DOI: https://doi.org/10.1007/BF00971194