This is a preview of subscription content, log in via an institution to check access.
Literature Cited
A. I. Shirshov, “On a conjecture in the theory of Lie algebras,” Sib. Mat. Zh.,3, No. 2, 297–301 (1962).
L. A. Bokut', “Embeddings in simple associative algebras,” Algebra Logika,15, No. 2, 117–142 (1976).
N. Jacobson, Exceptional Lie Algebras, Marcel Dekker (1971).
V. N. Remeslennikov, “A finitely presented group, whose center is not finitely generated,” Algebra Logika,13, No. 4, 450–459 (1974).
O. G. Kharlampovich, “A finitely presented solvable group with insoluble equality problem,” in: 7th All-Soviet Symposium on Group Theory. Theses, Krasnoyarsk (1980).
G. P. Kukin, “On free products of restricted Lie algebras,” Mat. Sb.,95, No. 1, 53–83 (1974).
G. P. Kukin, “Algorithmic problems for solvable Lie algebras,” Algebra Logika,17, No. 4, 402–415 (1978).
G. P. Kukin, “Subalgebras of finitely presented Lie algebras,” Algebra Logika,18, No. 3, 311–327 (1979).
Harish-Chandra, “On representations of Lie algebras,” Ann. Math.,50, 900–915 (1949).
G. P. Kukin, “On subalgebras of free Lie p-algebras,” Algebra Logika,11, No. 5, 535–550 (1972).
A. I. Shirshov, “On free Lie rings,” Mat. Sb.,45, No. 2, 113–122 (1958).
G. Baumslag, “Subalgebras of finitely presented Lie algebras,” J. Algtebra,45, 295–305 (1977).
Additional information
Omsk State University. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 24, No. 2, pp. 85–96, March–April, 1983.
Rights and permissions
About this article
Cite this article
Kukin, G.P. The equality problem and free products of lie algebras and of associative algebras. Sib Math J 24, 221–231 (1983). https://doi.org/10.1007/BF00968738
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00968738