Geodesic
Representations of finitely generated Jordan PI-algebras
Izvestiya. Mathematics , Tome 32 (1989) no. 1, pp. 63-76.

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The following results are obtained: The universal multiplicative envelope of a finitely generated Jordan PI-algebra is a PI-algebra. The upper nilradical of a finitely generated Jordan PI-algebra over a Noetherian ring is nilpotent. Bibliography: 11 titles. 
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Yu. A. Medvedev. Representations of finitely generated Jordan PI-algebras. Izvestiya. Mathematics , Tome 32 (1989) no. 1, pp. 63-76. http://geodesic.mathdoc.fr/item/IM2_1989_32_1_a3/

[1] Shestakov I. P., “Konechnoporozhdennye spetsialnye iordanovy i ilternativnye $PI$-algebry”, Matem. sb., 122(164):1(9) (1983), 31–40 | MR | Zbl

[2] Braun A., “The Nilpotency of the Radical in a Finitely Generated PI Ring”, J. Algebra, 89:2 (1984), 375–396 | DOI | MR | Zbl

[3] Medvedev Yu. A., Nil-radikaly konechno porozhdennykh iordanovykh $PI$-algebr, Preprint, SO AN SSSR, Institut matematiki, 1985 | MR

[4] Medvedev Yu. A., Zel'manov E. I., “Solvable Iordan Algebras”, Comm. in Alg., 1985, no. 6, 1389–1414 | DOI | MR | Zbl

[5] Zhevlakov K. A., Slinko A. M., Shestakov I. P., Shirshov A. I., Koltsa, blizkie k assotsiativnym, Nauka, M., 1978 | MR | Zbl

[6] Reyev A., “Existence of identities in $A\otimes B$”, Israel J. Math., 11:2 (1972), 131–152 | DOI | MR

[7] Skosyrskii V. G., Iordanovy algebry s usloviem minimalnosti dlya dvustoronnikh idealov, Preprint SO AN SSSR, Institut matematiki, 1981

[8] Zelmanov E. I., “O pervichnykh iordanovykh algebrakh, II”, Sib. matem. zhurn., 24:1 (1983), 89–104 | MR

[9] Zelmanov E. I., “Absolyutnye deliteli nulya i algebraicheskie iordanovy algebry”, Sib. matem. zhurn., 23:6 (1982), 100–116 | MR

[10] Jacobson N., Structure and representations of Iordan algebras, Amer. Math. Soc. Colloq. Publ., 39, Providence, 1968 | MR | Zbl

[11] Demeyer F., Ingraham E., Separable Algebras over Commutative Rings, Lecture Notes in Mathematics, 181, Springer-Verlag, Heidelberg, 1971 | MR