Geodesic
Some properties of a general $n$-dimensional algebra
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (1982), pp. 19-22
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We deal with the general linear $n$-dimensional non-associative algebra over an arbitrary field. It is shown that this algebra has no zero divizors, proper subalgebras, non-zero derivations and nontrivial automorphisms. 
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     author = {I. V. L'vov and V. D. Martirosyan},
     title = {Some properties of a general $n$-dimensional algebra},
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I. V. L'vov; V. D. Martirosyan. Some properties of a general $n$-dimensional algebra. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (1982), pp. 19-22. http://geodesic.mathdoc.fr/item/VMUMM_1982_1_a5/