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Problem of equality for Lie algebras. (English) Zbl 0411.17006


MSC:

17B05 Structure theory for Lie algebras and superalgebras
03D40 Word problems, etc. in computability and recursion theory

Citations:

Zbl 0383.17006
Full Text: DOI

References:

[1] A. I. Shirshov, ?Some algorithmic problems for Lie algebras,? Sib. Mat. Zh.,3, No. 2, 291-296 (1962). · Zbl 0104.26004
[2] L. A. Bokut’, ?Unsolvability of the problem of equality and subalgebras of finitely define Lie algebras,? Izv. Akad. Nauk SSSR, Ser. Mat.,36, No. 6, 1173-1219 (1972).
[3] N. Jacobson, Liet Algebras, Wiley, New York (1962).
[4] A. I. Shirshov, ?On free Lie rings,? Mat. Sb.,45, 113-122 (1958). · Zbl 0080.02603
[5] A. I. Shirshov, ?Subalgebras of free Lie algebras,? Mat. Sb.,33, No. 2, 441-452 (1953). · Zbl 0052.03004
[6] A. I. Mal’tsev, ?On algebras with identical defining relations,? Mat. Sb.,26, No. 1, 19-33 (1950).
[7] A. I. Mal’tsev, Algorithms and Recursive Functions [in Russian], Nauka, Moscow (1965).
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