Voir la notice de l'article provenant de la source Math-Net.Ru
@article{IM2_1991_37_1_a1, author = {E. I. Zel'manov and I. P. Shestakov}, title = {Prime alternative superalgebras and the nilpotence of the radical of a free alternative algebra}, journal = {Izvestiya. Mathematics }, pages = {19--36}, publisher = {mathdoc}, volume = {37}, number = {1}, year = {1991}, language = {en}, url = {http://geodesic.mathdoc.fr/item/IM2_1991_37_1_a1/} }
TY - JOUR AU - E. I. Zel'manov AU - I. P. Shestakov TI - Prime alternative superalgebras and the nilpotence of the radical of a free alternative algebra JO - Izvestiya. Mathematics PY - 1991 SP - 19 EP - 36 VL - 37 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IM2_1991_37_1_a1/ LA - en ID - IM2_1991_37_1_a1 ER -
E. I. Zel'manov; I. P. Shestakov. Prime alternative superalgebras and the nilpotence of the radical of a free alternative algebra. Izvestiya. Mathematics , Tome 37 (1991) no. 1, pp. 19-36. http://geodesic.mathdoc.fr/item/IM2_1991_37_1_a1/
[1] Slater M., “Nucleus and center in alternative rings”, J. Algebra, 7:3 (1967), 372–388 | DOI | MR | Zbl
[2] Humm M., Kleinfeld E., “On free alternative rings”, J. Combin. Theory, 2:2 (1967), 140–144 | DOI | MR | Zbl
[3] Zhevlakov K. A., “Kvaziregulyarnye idealy v konechno porozhdennykh alternativnykh koltsakh”, Algebra i logika, 11:2 (1972), 140–161
[4] Dnestrovskaya tetrad, nereshennye problemy teorii kolets i modulei, Nauka, Novosibirsk, 1982
[5] Shestakov I. P., “Radikaly i nilpotentnye elementy svobodnykh alternativnykh algebr”, Algebra i logika, 14:3 (1975), 354–365 | MR | Zbl
[6] Iltyakov A. V., “Svobodnye alternativnye algebry ranga $3$”, Algebra i logika, 23:2 (1984), 136–158 | MR
[7] Iltyakov A. V., “Konechnaya porozhdennost radikala svobodnoi alternativnoi algebry kak vpolne kharakteristicheskogo ideala”, KhIKh Vsesoyuznaya algebraicheskaya konferentsiya, Tezisy soobschenii. Ch. II, Lvov, 1987, 112
[8] Shestakov I. P., “Konechno porozhdennye spetsialnye iordanovy i alternativnye $PI$-algebry”, Matem. sb., 122(164):1(9) (1983), 31–40 | MR | Zbl
[9] Pchelintsev S. V., “O nilpotentnykh elementakh i nil-radikalakh alternativnykh algebr”, Algebra i logika, 24:6 (1985), 674–695 | MR | Zbl
[10] Kemer A. R., “Zamechanie o standartnom tozhdestve”, Matem. zametki, 23:5 (1978), 753–758 | MR
[11] Kemer A. R., “Mnogoobraziya i $\mathbf{Z}_2$-graduirovannye algebry”, Izv. AN SSSR. Ser. matem., 48:5 (1984), 1042–1059 | MR
[12] Zelmanov E. I., “Ob engelevykh algebrakh Li”, DAN SSSR, 292:6 (1987), 265–268
[13] Zelmanov E. I., O iordanovykh nil-algebrakh ogranichennogo indeksa. Mnogoobraziya algebraicheskikh sistem, Preprint No 647, VTs SO AN SSSR, Novosibirsk, 1986 | MR
[14] Zhevlakov K. A., Slinko A. M., Shestakov I. P., Shirshov A. I., Koltsa, blizkie k assotsiativnym, Nauka, M., 1978 | MR | Zbl
[15] Mikhalev A. A., “Podalgebry svobodnykh tsvetnykh superalgebr Li”, Matem. zametki, 37:5 (1985), 653–661 | MR | Zbl
[16] Berezin F. A., Vvedenie v algebru i analiz s antikommutiruyuschimi peremennymi, MGU, M., 1983 | MR
[17] Pchelintsev S. V., “O metaidealakh alternativnykh algebr”, Sib. matem. zhurn., 24:3 (1983), 142–148 | MR | Zbl
[18] Schafer R. D., An introduction to nonassociative algebras, Academic Press, N.Y., 1966 | MR
[19] Filippov V. T., “O nilpotentnykh idealakh v algebrakh Maltseva”, Algebra i logika, 18:5 (1979), 599–613 | MR | Zbl
[20] Filippov V T., “O nilpotentnykh idealakh svobodnoi alternativnoi algebry”, Algebra i logika, 22:3 (1983), 343–354 | MR
[21] Pchelintsev S. V., “Razreshimost i nilpotentnost alternativnykh algebr i algebr tipa $(-1,1)$”, Sb. trudov IM, 4, Nauka, Novosibirsk, 1984, 81–101 | MR
[22] Maltsev A. I., Algoritmy i rekursivnye funktsii, Nauka, M., 1986 | MR
[23] Slater M., “Prime alternative rings, III”, J. Algebra, 21:3 (1972), 394–409 | DOI | MR | Zbl
[24] Shestakov I. P., “Alternativnye algebry s tozhdestvom $[x,y]^n=0$”, Algebra i logika, 20:5 (1981), 575–596 | MR | Zbl
[25] Jacobson N., “Structure of alternative and Jordan bimodules”, Osaka Math. J., 1954, no. 6, 1–71 | MR | Zbl