Geodesic
T-ideal of generalized identities for a class of primitive algebras with involution
Fundamentalʹnaâ i prikladnaâ matematika, Tome 1 (1995) no. 1, pp. 255-262 
A. E. Pentus. T-ideal of generalized identities for a class of primitive algebras with involution. Fundamentalʹnaâ i prikladnaâ matematika, Tome 1 (1995) no. 1, pp. 255-262. http://geodesic.mathdoc.fr/item/FPM_1995_1_1_a13/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The T-ideal of generalized polynomial identities of any primitive algebra $R$ with involution is found, provided $R$ is an algebra over an algebraically closed field $F$ of characteristic different from 2, the ring $R$ contains no primitive symmetric idempotents, and there exists an idempotent $e$ such that $eRe=eF$.

[1] Beidar K. I., 14-ya Vsesoyuznaya algebraicheskaya konferentsiya, Tezisy soobschenii, Novosibirsk, 1977

[2] Leng S., Algebra, Mir, M., 1965

[3] Pentus A. E., “Ideal obobschennykh tozhdestv koltsa $(n\times n)$-matrits nad konechnym polem s involyutsiei”, Uspekhi matem. nauk, 47:2 (1992), 187–188 | MR | Zbl

[4] Pentus A. E., “Stroenie T-ideala obobschennykh tozhdestv primitivnykh algebr s involyutsiei nad polem”, Uspekhi matem. nauk, 47:6 (1992), 227–228 | MR | Zbl

[5] Beidar K. I., Mikhalev A. V., Salavova C., “Generalized Identities and Semiprime Rings with Involution”, Mathematische Zeitschrift, 178:37–62 (1981) | MR | Zbl

[6] Chuang Chen-Lian, “*-Differential Identities of Prime Rings with Involution”, Trans. Amer. Math. Soc., 316:1 (1989), 251–279 | DOI | MR | Zbl

[7] Littlewood D. E., “Identical relations satisfied in an algebra”, Proc. London Math. Soc., 32, no. 2, 1931, 312–320 | Zbl

[8] Rosen J. D., “$*$-Generalized polynomial identities of finite-dimensional central simple algebras”, Israel J. Math., 46:1–2 (1983), 97–101 | DOI | MR

[9] Rowen L. H., Ring Theory, V. 1, Academic Press, New York, 1988 | MR