Geodesic
Algebraic Lie algebras of bounded degree
Fundamentalʹnaâ i prikladnaâ matematika, Tome 22 (2019) no. 5, pp. 209-242

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The paper discusses the questions of coincidence of the basic nil-radicals on classes of algebraic Lie algebras and proves the local finite-dimensionality of Lie algebras with an algebraic adjoint representation of bounded degree over fields of sufficiently large positive characteristic. 
@article{FPM_2019_22_5_a20,
     author = {A. Yu. Golubkov},
     title = {Algebraic {Lie} algebras of bounded degree},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {209--242},
     publisher = {mathdoc},
     volume = {22},
     number = {5},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2019_22_5_a20/}
}
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A. Yu. Golubkov. Algebraic Lie algebras of bounded degree. Fundamentalʹnaâ i prikladnaâ matematika, Tome 22 (2019) no. 5, pp. 209-242. http://geodesic.mathdoc.fr/item/FPM_2019_22_5_a20/