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A variant of the height theorem for Lie algebras

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Literature cited

  1. A. I. Shirshov, “On rings with identical relations,” Mat. Sb.,43, No. 2, 277–283 (1957).

    Google Scholar 

  2. S. V. Pchelintsev, “The height theorem for alternative algebras,” Mat. Sb.,124, No. 4, 557–567 (1984).

    Google Scholar 

  3. Yu. A. Bakhturin, Identities in Lie Algebras [in Russian], Nauka, Moscow (1985).

    Google Scholar 

  4. S. P. Mishchenko, “On solvable subvarieties of the variety generated by the Witt algebra,” Mat. Sb. [sic].

  5. K. A. Zhevlakov, A. M. Slin'ko, I. P. Shestakov, and A. I. Shirshov, Nearly Associative Rings [in Russian], Nauka, Moscow (1978).

    Google Scholar 

  6. S. P. Mishchenko, “On the Engel problem,” Mat. Sb.,124, No 1, 56–67 (1984).

    Google Scholar 

  7. A. I. Kostrikin, On Burnside [in Russian], Nauka, Moscow (1986).

    Google Scholar 

  8. E. I. Zel'manov, “Lie algebras with algebraic adjoint representation,” Mat. Sb.,121, No. 4, 545–561 (1983).

    Google Scholar 

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Translated from Matematicheskie Zametki, Vol. 47, No. 4, pp. 83–89, April, 1990.

In conclusion, the author thanks Yu. A. Bakhturin for his interest and helpful conversations.

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Mishchenko, S.P. A variant of the height theorem for Lie algebras. Mathematical Notes of the Academy of Sciences of the USSR 47, 368–372 (1990). https://doi.org/10.1007/BF01163820

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