This is a preview of subscription content, log in via an institution to check access.
References
L. A. Bokut' and G. P. Kukin, Algorithmic and Combinatorial Algebra, Kluwer Academic Publishers, Dordrecht, Boston, and London (1994).
A. I. Shirshov, “On free Lie rings,” Mat. Sb.,45(87), No. 2, 113–122 (1958).
Yu. A. Bakhturin, Identities in Lie Algebras [in Russian], Nauka, Moscow (1985).
A. I. Shirshov, “Some algorithmic problems in Lie algebras,” Sibirsk. Mat. Zh.,3, No. 2, 292–296 (1962).
A. I. Shirshov, “Subalgebras of free Lie algebras,” Mat. Sb.,33(75), No. 2, 441–452 (1953).
G. P. Kukin, “Primitive elements of free Lie algebras,” Algebra i Logika,9, No. 4, 458–472 (1970).
S. A. Agalakov, “A Lie algebra with one defining relation need not be residually finite,” Mat. Zametki,51, No. 4, 3–7 (1992).
Additional information
Kustanaî, Omsk. Translated fromSibirskiî Matematicheskiî Zhurnal, Vol. 38, No. 5, pp. 1051–1057, September–October, 1997.
Rights and permissions
About this article
Cite this article
Demisenov, B.N., Kukin, G.P. On subalgebras of a lie algebra with one defining relation. Sib Math J 38, 910–914 (1997). https://doi.org/10.1007/BF02673032
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02673032