Geodesic
On $\delta$-derivations of $n$-ary algebras
Izvestiya. Mathematics , Tome 76 (2012) no. 6, pp. 1150-1162

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We give a description of $\delta$-derivations of $(n+1)$-dimensional $n$-ary Filippov algebras and, as a consequence, of simple finite-dimensional Filippov algebras over an algebraically closed field of characteristic zero. We also give new examples of non-trivial $\delta$-derivations of Filippov algebras and show that there are no non-trivial $\delta$-derivations of the simple ternary Mal'tsev algebra $M_8$.
Keywords: $\delta$-derivation, Filippov algebra, ternary Mal'tsev algebra. 
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     author = {I. B. Kaygorodov},
     title = {On $\delta$-derivations of $n$-ary algebras},
     journal = {Izvestiya. Mathematics },
     pages = {1150--1162},
     publisher = {mathdoc},
     volume = {76},
     number = {6},
     year = {2012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2012_76_6_a4/}
}
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I. B. Kaygorodov. On $\delta$-derivations of $n$-ary algebras. Izvestiya. Mathematics , Tome 76 (2012) no. 6, pp. 1150-1162. http://geodesic.mathdoc.fr/item/IM2_2012_76_6_a4/