Scientific Bulletin of Namangan State University


In this article the decision of one problem on the applications of the theorem Levi is discussed. In an example of the decision of this problem it is considered the methodical parties of studying of an essence and the proof of the theorem.

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1. Dixmier J., Lister W.G. Derivations of nilpotent Lie algebras. // Proc. Amer. Math. Soc. – 1957. – Vol. 8. - P. 155-158. 2. Snobl L., On the structure of maximal solvable extensions and of Levi extensions of nilpotent Lie algebras, J. Phys. A, Math. Theor. 43 (2010), 17. 3. Djekobson N. Algebri Li. - M.: Mir, 1964. – 356 c. 4. Mubarakzyanov G.M. O razreshimix algebrax Li. Izvestiya visshix uchebnix zavedeniy. Matematika. 1963 (№ 1 (32)). S.14-123. 5. Xakimjanov YU.B. Xarakteristicheski nilpotentnie algebri Li. // Matematicheskiy sbornik. – 1990. – T. 181. - № 5. - C. 642 - 655.





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