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References
V. T. Filippov, “Imbedding Mal'tsev algebras into alternative algebras,”Algebra Logika, 22, No. 4, 321–337 (1983).
V. T. Filippov, “The measure of non-Lieness for Mal'tsev algebras,”Algebra Logika, 31, No. 2, 126–140 (1992).
V. T. Filippov, “Nilelements of index 2 in Mal'tsev algebras,” 1980, Dep. in VINITI, No. 2499-80.
V. T. Filippov, “Nilpotent ideals of Mal'tsev algebras,”Algebra Logika, 18, No. 5, 379–388 (1979).
V. T. Filippov, “Central simple Mal'tsev algebras,”Algebra Logika, 15, No. 2, 147–151 (1976).
V. T. Filippov, “Finitely generated Mal'tsev algebras,”Algebra Logika, 19, No. 4, 311–324 (1980).
A. A. Sagle, “Malcev algebras,”Trans. Amer. Math. Soc., 101, No. 3, 426–458 (1961).
A. I. Shirshov, “Subalgebras of free Lie algebras,”Mat. Sbornik, 33, No. 75, 441–452 (1953).
E. N. Kuz'min, “Mal'tsev algebras and their representations,”Algebra Logika, 7, No. 4, 48–69 (1968).
V. T. Filippov, “Semiprime Mal'tsev algebras of characteristic 3,”Algebra Logika, 14, No. 1, 64–71 (1975).
V. T. Filippov, “Prime Mal'tsev algebras,”Mat. Zametki, 31, No. 5, 669–677 (1982).
I. Kaplansky,Lie Algebras and Locally Compact Groups [in Russian], Mir, Moscow (1974).
V. T. Filippov, “Free Mal'tsev algebras and alternative algebras,”Algebra Logika, 21, No. 1, 58–72 (1982).
Yu. A. Medvedev, “Example of a variety of solvable alternative algebras over a field of characteristic 2 having no finite basis of identities,”Algebra Logika, 19, No. 3, 191–201 (1980).
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Translated fromAlgebra i Logika, Vol. 31, No. 5, pp. 538–559, September–October, 1992.
Translated by A. Sergeeva
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Filippov, V.T. Symmetric invariant bilinear forms on J-ideals of semiprime Mal'tsev algebras. Algebr Logic 31, 316–329 (1992). https://doi.org/10.1007/BF02259827
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DOI: https://doi.org/10.1007/BF02259827