Geodesic
Alternative algebras admitting derivations with invertible values and invertible derivations
Izvestiya. Mathematics , Tome 78 (2014) no. 5, pp. 922-936

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We prove an analogue of the Bergen–Herstein–Lanski theorem for alternative algebras: describe all alternative algebras that admit derivations with invertible values. We also prove an analogue of Moens' theorem for alternative algebras (a finite-dimensional alternative algebra over a field of characteristic zero is nilpotent if and only if it admits an invertible Leibniz derivation).
Keywords: derivation, alternative algebra, nilpotent algebra. 
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     author = {I. B. Kaygorodov and Yu. S. Popov},
     title = {Alternative algebras admitting derivations with invertible values and invertible derivations},
     journal = {Izvestiya. Mathematics },
     pages = {922--936},
     publisher = {mathdoc},
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     number = {5},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2014_78_5_a3/}
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I. B. Kaygorodov; Yu. S. Popov. Alternative algebras admitting derivations with invertible values and invertible derivations. Izvestiya. Mathematics , Tome 78 (2014) no. 5, pp. 922-936. http://geodesic.mathdoc.fr/item/IM2_2014_78_5_a3/