Geodesic
Alternative and Jordan algebras admitting ternary derivations with invertible values
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 14 (2017), pp. 1505-1523

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In this paper we prove analogues of H. Komatsu and A. Nakajima theorems (see [1]) for alternative and Jordan algebras. In particular, we give a description of alternative and Jordan algebras which have ternary derivations with invertible values.
Keywords: Alternative algebras, Jordan algebras, Cayley–Dickson algebra, Albert algebra, derivation, generalized derivation, ternary derivation. 
@article{SEMR_2017_14_a45,
     author = {V. N. Zhelyabin and A. I. Shestakov},
     title = {Alternative and {Jordan} algebras admitting ternary derivations with invertible values},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {1505--1523},
     publisher = {mathdoc},
     volume = {14},
     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2017_14_a45/}
}
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V. N. Zhelyabin; A. I. Shestakov. Alternative and Jordan algebras admitting ternary derivations with invertible values. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 14 (2017), pp. 1505-1523. http://geodesic.mathdoc.fr/item/SEMR_2017_14_a45/