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Griskov, A. N.

Analogue of Levi’s theorem for Mal’cev algebras. (English. Russian original) Zbl 0394.17014

Algebra Logic 16, 260-265 (1978); translation from Algebra Logika 16, 389-396 (1977).
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Cited in 2 Reviews
Cited in 5 Documents

MSC:

17D10 Mal’tsev rings and algebras

Keywords:

Semisimple Subalgebra; Finite Dimensional Malcey Algebra; Levi’s Theorem

Citations:

Zbl 0394.17015
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References:

[1] N. Jacobson, Lie Algebras, Wiley (1962).
[2] E. N. Kuz’min, ”Mal’tsev algebras and their representations,” Algebra Logika,7, No. 4, 48–69 (1968).
[3] R. Carlsson, ”Malcev-Moduln,” J. Reine Angew. Math.,281, 199–210 (1976). · Zbl 0326.17010 · doi:10.1515/crll.1976.281.199
[4] Dnestr Notebook [in Russian], Novosibirsk (1976).
[5] A. A. Sagle, ”Simple Malcev algebras over fields of characteristic zero,” Pac. J. Math.,12, No. 3, 1057–1078 (1962). · Zbl 0136.02103
[6] E. L. Stitzinger, ”Malcev algebras with -potent radical,” Proc. Am. Math. Soc.,50, 1–9 (1975). · Zbl 0338.17006
[7] E. N. Kuz’min, ”Mal’tsev algebras of dimension 5 over a field of characteristic 0,” Algebra Logika,9, No. 6, 691–700 (1970).
[8] R. Carlesson, ”Das erste Whitehead-Lemma für Malcev-Algebren und der Satz von Malcev-Harish-Chandra,” Dissertation, Univ. Hamburg (1973).
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