Geodesic
Algebraic Lie algebras with finite grading
Fundamentalʹnaâ i prikladnaâ matematika, Tome 25 (2024) no. 1, pp. 87-102

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The paper presents a variant of the proof of local finite-dimensionality of Lie PI-algebras with an algebraic adjoint representation over fields of characteristic zero without the use of extremal elements, a number of similar conclusions for such algebras over fields of characteristic $p> 7$, and generalizes the description of the locally finite radical of algebraic Mal'tsev locally PI-algebras to any base field of characteristic zero. 
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     author = {A. Yu. Golubkov},
     title = {Algebraic {Lie} algebras with finite grading},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {87--102},
     publisher = {mathdoc},
     volume = {25},
     number = {1},
     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2024_25_1_a5/}
}
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A. Yu. Golubkov. Algebraic Lie algebras with finite grading. Fundamentalʹnaâ i prikladnaâ matematika, Tome 25 (2024) no. 1, pp. 87-102. http://geodesic.mathdoc.fr/item/FPM_2024_25_1_a5/