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@article{CHEB_2013_14_3_a9, author = {E. V. Mescherina}, title = {On the different definitions of artinianess for {Lie} algebras}, journal = {\v{C}eby\v{s}evskij sbornik}, pages = {75--80}, publisher = {mathdoc}, volume = {14}, number = {3}, year = {2013}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/CHEB_2013_14_3_a9/} }
E. V. Mescherina. On the different definitions of artinianess for Lie algebras. Čebyševskij sbornik, Tome 14 (2013) no. 3, pp. 75-80. http://geodesic.mathdoc.fr/item/CHEB_2013_14_3_a9/
[1] Lambek I., Koltsa i moduli, Mir, M., 1971 | MR | Zbl
[2] Kherstein I., Nekommutativnye koltsa, Mir, M., 1972 | MR
[3] Bakhturin Yu. A., “Artinovy spetsialnye algebry Li”, Algebra, Izd-vo MGU, M., 1982, 24–26 | MR
[4] Pikhtilkov S. A., “Artinovye spetsialnye algebry Li”, Algoritmicheskie problemy teorii grupp i polugrupp, mezhvuz. sb., Izd-vo Tul. gos. ped. un-ta im. L. N. Tolstogo, Tula, 2001, 189–194
[5] Pikhtilkov S. A., Polyakov V. M., “O lokalno nilpotentnykh artinovykh algebrakh Li”, Chebyshevskii sbornik, 6:1 (2005), 163–169 | MR | Zbl
[6] Latyshev V. N., “Ob algebrakh Li s tozhdestvennymi sootnosheniyami”, Sib. mat. zhurn., 4:4 (1963), 821–829 | MR | Zbl
[7] Jacobson N., Structure theory of quadratic Jordan algebras. Lecture Notes, Tata Institute of Fundamental research, Bombay, 1970
[8] Benkart G., “On inner ideals and ad-nilpotent elements of Lie algebras”, Transactions of the American Mathematical Society, 232 (1977), 61–81 | DOI | MR | Zbl
[9] Fernandez Lopez A., Garcia E., Gomez Lozano M., “An artinian theory for Lie algebras”, Journal of Algebra, 319 (2008), 938–951 | DOI | MR | Zbl
[10] Fernandez Lopez A., Garcia E., Gomez Lozano M., “Inner ideal structure of nearly artinian Lie algebras”, Proc. Amer. Math. Soc., 137 (2009), 1–9 | MR | Zbl
[11] Mescherina E. V., Pikhtilkov S. A., “O nekotorykh svoistvakh vnutrennikh idealov algebry Li”, Vestnik OGU, 2013 (to appear)
[12] Olshanskii A. Yu., “Beskonechnaya gruppa s podgruppami prostykh poryadkov”, Izv. AN SSSR. Ser. Mat., 44:2 (1980), 309–321 | MR
[13] Beidar K. I., Zaitsev M. V., Pikhtilkov S. A., “Algebry Li s usloviem maksimalnosti na abelevy podalgebry”, Vestnik MGU. Ser. 1, Matematika. Mekhanika, 2002, no. 5, 27–32
[14] Mescherina E. V., Pikhtilkova O. A., Pikhtilkov S. A., “O probleme A. V. Mikhaleva dlya algebr Li”, Izvestiya Saratovskogo universiteta. Novaya seriya. Ser. Matematika. Mekhanika. Informatika, 13:4(2) (2013), 83–88 | MR