Voir la notice de l'article provenant de la source Math-Net.Ru
@article{FPM_2002_8_3_a10, author = {S. A. Pikhtilkov}, title = {On locally nilpotent radical of special {Lie} algebras}, journal = {Fundamentalʹna\^a i prikladna\^a matematika}, pages = {769--782}, publisher = {mathdoc}, volume = {8}, number = {3}, year = {2002}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/FPM_2002_8_3_a10/} }
S. A. Pikhtilkov. On locally nilpotent radical of special Lie algebras. Fundamentalʹnaâ i prikladnaâ matematika, Tome 8 (2002) no. 3, pp. 769-782. http://geodesic.mathdoc.fr/item/FPM_2002_8_3_a10/
[1] Burbaki N., Gruppy i algebry Li, glavy I–III, Mir, M., 1976 | MR
[2] Amayo R., Stewart I., Infinite dimensional Lie algebras, Noordhoof, Leyden, 1974 | MR | Zbl
[3] Parfenov V. A., “O slabo razreshimom radikale algebr Li”, Sib. mat. zhurn., 12:1 (1971), 171–176 | MR | Zbl
[4] Latyshev V. N., “Ob algebrakh Li s tozhdestvennymi sootnosheniyami”, Sib. mat. zhurn., 4:4 (1963), 821–829 | Zbl
[5] Pikhtilkov S. A., “O spetsialnykh algebrakh Li”, Uspekhi mat. nauk, 36:6 (1981), 225–226 | MR
[6] Beidar K. I., Pikhtilkov S. A., “O pervichnom radikale spetsialnykh algebr Li”, Uspekhi mat. nauk, 49:1 (1994), 233 | MR | Zbl
[7] Beidar K. I., Pikhtilkov S. A., “Pervichnyi radikal spetsialnykh algebr Li”, Fundam. i prikl. mat., 6:3 (2000), 643–648 | MR | Zbl
[8] Bahturin Yuri, “On Lie subalgebras of associative PI-algebras”, J. Algebra, 67:2 (1980), 257–271 | DOI | MR | Zbl
[9] Razmyslov Yu. P., “O radikale Dzhekobsona v PI-algebrakh”, Algebra i logika, 13:3 (1974), 337–360 | MR | Zbl
[10] Razmyslov Yu. P., Tozhdestva algebr i ikh predstavleniya, Nauka, M., 1989 | MR | Zbl
[11] Pikhtilkov S. A., “Locally nilpotent ideals of special Lie algebras”, Comm. Algebra, 29:9 (2001), 3781–3786 | DOI | MR | Zbl
[12] Kubo F., “Infinite-dimensional Lie algebras with null Jacobson radical”, Bull. Kyushu Inst. Technol. Math. Nat. Sci., 38 (1991), 23–30 | MR | Zbl
[13] Togo S., “Radicals of infinite-dimensional Lie algebras”, Hiroshima Math. J., 2, 179–203 | MR | Zbl
[14] Togo S., Kavamoto N., “Ascendantly coalescent classes and radicals of Lie algebras”, Hiroshima Math. J., 2 (1972), 253–261 | MR | Zbl
[15] Plotkin B. I., “O nekotorykh priznakakh lokalno nilpotentnykh grupp”, Uspekhi mat. nauk, 9:3(61) (1954), 181–187 | MR
[16] Hartley B., “Locally nilpotent ideals of a Lie algebra”, Proc. Cambridge Phil. Soc., 63 (1967), 257–272, part 2 | DOI | MR | Zbl
[17] Kostrikin A. I., Vokrug Bernsaida, Nauka, M., 1986 | MR
[18] Marshall E. I., “The Frattini subalgebras of a Lie algebra”, J. London Math. Soc., 42 (1967), 416–422 | DOI | MR | Zbl
[19] Billig Yu. V., “O gomomorfnom obraze spetsialnoi algebry Li”, Mat. sbornik, 136:3 (1988), 320–323 | MR | Zbl
[20] Andrunakievich V. A,, Ryabukhin Yu. M., Radikaly algebr i strukturnaya teoriya, Nauka, M., 1979 | MR
[21] Jacobson N., PI-algebras, Springer-Verlag, Berlin, Heideilburg, New York, 1975 | MR
[22] Dzhekobson N., Stroenie kolets, Izd-vo inostr. literatury, M., 1961 | MR
[23] Kaplanskii I., Algebry Li i lokalno kompaktnye gruppy Li, Mir, M., 1974
[24] Dzhekobson N., Algebry Li, Mir, M., 1964 | MR
[25] Beidar K. I., Pikhtilkov S. A., “O PI-obolochkakh spetsialnykh algebr Li”, Trudy uchastnikov mezhdunarodnogo seminara, posvyaschennogo pamyati L. A. Skornyakova, Volgograd, 2000, 34–38
[26] Beidar K. I., Martindale W. S., Mikhalev A. V., Rings with generalized identities, Marcel Dekker, New York, 1996 | MR | Zbl
[27] Kherstein I., Nekommutativnye koltsa, Mir, M., 1972 | MR