Geodesic
One-sided nil-ideals and generalized polynomial identities of semi-prime rings
Fundamentalʹnaâ i prikladnaâ matematika, Tome 1 (1995) no. 3, pp. 809-811 
Yu. A. Terekhova. One-sided nil-ideals and generalized polynomial identities of semi-prime rings. Fundamentalʹnaâ i prikladnaâ matematika, Tome 1 (1995) no. 3, pp. 809-811. http://geodesic.mathdoc.fr/item/FPM_1995_1_3_a16/
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Voir la notice de l'article provenant de la source Math-Net.Ru

In the paper it is shown that semi-prime rings (rings with strong identities) have no one-sided ideals with Gardner's property (r) [1] (respectively, no non-zero one-sided nil-ideals).

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[3] I. N. Herstein, Topics in ring theory, Univ. Chicago Press, Chicago, 1969 | MR | Zbl

[4] I. Lambek, Koltsa i moduli, Mir, M., 1971 | MR | Zbl

[5] K. I. Beidar, “Koltsa s obobschennymi tozhdestvami II”, Vestnik Mosk. un-ta. Matem., mekhan., 1977, 3

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