On the homological description of the Jacobson radical for Lie algebras
Čebyševskij sbornik, Tome 11 (2010) no. 3, pp. 98-102.

Voir la notice de l'article provenant de la source Math-Net.Ru

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A. A. Kucherov; S. A. Pikhtilkov; O. A. Pikhtilkova. On the homological description of the Jacobson radical for Lie algebras. Čebyševskij sbornik, Tome 11 (2010) no. 3, pp. 98-102. http://geodesic.mathdoc.fr/item/CHEB_2010_11_3_a9/

[1] Marshall E. I., “The Frattini subalgebras of a Lie algebra”, J. London Math. Soc., 42 (1967), 416–422 | MR | Zbl

[2] Kubo F., “Infinite-dimensional Lie algebras with null Jacobson radical”, Bull. Kyushu Inst. Technol. Math. Nat. Sci., 38 (1991), 23–30 | MR | Zbl

[3] Latyshev V. N., “Ob algebrakh Li s tozhdestvennymi sootnosheniyami”, Sib. mat. zhurnal, 4:4 (1963), 821–829 | Zbl

[4] Pikhtilkov S. A., “O lokalno nilpotentnom radikale spetsialnykh algebr Li”, Fundamentalnaya i prikladnaya matematika, 8:3 (2002), 769–782 | MR

[5] Bakhturin Yu. A., Tozhdestva v algebrakh Li, Nauka, M., 1985 | MR | Zbl

[6] Burbaki N., Gruppy i algebry Li, glavy I–III, Mir, M., 1976 | MR

[7] Simonyan L. A., “O radikale Dzhekobsona algebry Li”, Latviiskii matematicheskii ezhegodnik, 1993, no. 34, 230–234 | MR

[8] Kherstein I., Nekommutativnye koltsa, Mir, M., 1972 | MR

[9] Dzhekobson N., Algebry Li, Mir, M., 1964 | MR

[10] Beidar K. I., Pikhtilkov S. A., “Pervichnyi radikal spetsialnykh algebr Li”, Fundamentalnaya i prikladnaya matematika, 6:3 (2000), 643–648 | MR | Zbl