Kuz’min, E. N. Levi’s theorem for Mal’cev algebras. (English. Russian original) Zbl 0394.17015 Algebra Logic 16, 286-291 (1978); translation from Algebra Logika 16, 424-431 (1977). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 ReviewsCited in 6 Documents MSC: 17D10 Mal’tsev rings and algebras Keywords:Semisimple Subalgebra; Levi Theorem; Finite-Dimensional Malcev Algebra; Semidirect Sum Citations:Zbl 0394.17014 PDFBibTeX XMLCite \textit{E. N. Kuz'min}, Algebra Logic 16, 286--291 (1977; Zbl 0394.17015); translation from Algebra Logika 16, 424--431 (1977) Full Text: DOI References: [1] E. N. Kuz’min, ”Mal’tsev algebras and their representations,” Algebra Logika,7, No. 4, 48–69 (1968). [2] E. N. Kuz’min, ”Mal’tsev algebras,” Doctoral Dissertation, Novosibirsk (1969). [3] A. I. Mal’tsev, ”Decomposition of an algebra into a direct sum of radical and a semi-simple subalgebra,” Dokl. Akad. Nauk SSSR,36, No. 2, 46–50 (1942) (see also A. I. Mal’tsev, Selected Works [in Russian], Vol. 1, Nauka, Moscow (1976), pp. 91–94). [4] N. Jacobson, Lie Algebras, Interscience, New York–London (1962). · Zbl 0121.27504 [5] R. Carlsson, ”Das erste Whitehead-Lemma fur Malcev-Algebren und der Satz von Malcev–Harish-Chandra,” Dissertation, Univ. Hamburg (1973). [6] Dnestr Notebook [in Russian], Novosibirsk (1976). [7] E. L. Stitzinger, ”Malcev algebras with -potent radical,” Proc. Am. Math. Soc.,50, 1–9 (1975). · Zbl 0338.17006 [8] A. A. Sagle, ”Malcev algebras,” Trans. Am. Math. Soc.,101, No. 3, 426–458 (1961). · Zbl 0101.02302 · doi:10.1090/S0002-9947-1961-0143791-X [9] E. N. Kuz’min, ”Mal’tsev algebras of dimension 5 over a field of characteristic 0,” Algebra Logika,9, No. 6, 691–700 (1970). This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.