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Finite-dimensional left Moufang algebras. (English) Zbl 0321.17005


MSC:

17D05 Alternative rings
17A20 Flexible algebras
17A30 Nonassociative algebras satisfying other identities
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References:

[1] Albert, A. A.: The structure of right alternative algebras. Ann. Math.59, 408-417 (1954) · Zbl 0055.26501 · doi:10.2307/1969709
[2] Braun, H., Koecher, M.: Jordan-Algebren. Berlin, Heidelberg, New York: Springer 1966
[3] Dorofeev, G. V.: On the nilpotence of right alternative rings (in Russian). Alg. i Logika9, 302-305 (1970) · Zbl 0223.17008
[4] McCrimmon, K.: Generically algebraic algebras. Trans. Amer. Math. Soc.127, 527-551 (1967) · Zbl 0153.05801 · doi:10.1090/S0002-9947-1967-0210758-8
[5] McCrimmon, K.: A proof of Schafer’s conjecture for infinite-dimensional forms admitting composition. J. Algebra5, 72-83 (1967) · Zbl 0153.05901 · doi:10.1016/0021-8693(67)90026-9
[6] McCrimmon, K.: Solvability and nilpotence for quadratic Jordan algebras. Scripta Math.29, 467-483 (1972) · Zbl 0288.17011
[7] San Souci, R. L.: Right alternative division rings of characteristic two. Proc. Amer. Math. Soc.6, 291-296 (1955) · Zbl 0064.03402
[8] Skornyakov, L. A.: Right alternative fields (in Russian). Izvestiya Akad. Nauk SSSR, Ser. Mat.15, 177-184 (1951) · Zbl 0042.03501
[9] Slin’ko, A. M.: On equivalences of certain concepts of nilpotence in right alternative rings (in Russian). Alg. i Logika9, 346-348 (1970)
[10] Thedy, A.: Right alternative algebras. J. Algebra37, 1-43 (1975) · Zbl 0318.17011 · doi:10.1016/0021-8693(75)90086-1
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