Geodesic
Local and $2$-Local Differentiations of $p$-Filiform Leibniz Algebras
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference «Problems of Modern Topology and its Applications», Tome 144 (2018), pp. 65-73

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In this paper, we study local and $2$-local differentiations of $p$-filiform Leibniz algebras, describe all local differentiations of $p$-filiform non-Lie Leibniz algebras, and also show that there exist two-local differentiations on these algebras that are not differentiations.
Keywords: Leibniz algebra, $p$-filiform Leibniz algebra, differentiation, local differentiation, $2$-local differentiation. 
@article{INTO_2018_144_a6,
     author = {Sh. A. Ayupov and K. K. Kudaybergenov and B. B. Yusupov},
     title = {Local and $2${-Local} {Differentiations} of $p${-Filiform} {Leibniz} {Algebras}},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {65--73},
     publisher = {mathdoc},
     volume = {144},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2018_144_a6/}
}
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Sh. A. Ayupov; K. K. Kudaybergenov; B. B. Yusupov. Local and $2$-Local Differentiations of $p$-Filiform Leibniz Algebras. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference «Problems of Modern Topology and its Applications», Tome 144 (2018), pp. 65-73. http://geodesic.mathdoc.fr/item/INTO_2018_144_a6/