Geodesic
On several varieties of Leibniz algebras
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 5 (2011), pp. 71-80

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The paper is devoted to two new results concerning varieties of Leibniz algebras. In case of prime characteristic $p$ we construct an example of a non-nilpotent variety of Leibniz algebras with Engel condition. In case of field of characteristic zero we obtain a new result concerning the space of multilinear components of the variety of left-nilpotent Leibniz algebra of class three.
Keywords: Leibniz algebra, Engel condition, variety of algebras, Young diagram. 
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     author = {T. V. Skoraya and Yu. Yu. Frolova},
     title = {On several varieties of {Leibniz} algebras},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {71--80},
     publisher = {mathdoc},
     number = {5},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2011_5_a7/}
}
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T. V. Skoraya; Yu. Yu. Frolova. On several varieties of Leibniz algebras. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 5 (2011), pp. 71-80. http://geodesic.mathdoc.fr/item/VSGU_2011_5_a7/