Geodesic
A~necessary condition of co-length finiteness of Lie algebra variety in the~case of zero-characteristic field
Fundamentalʹnaâ i prikladnaâ matematika, Tome 6 (2000) no. 2, pp. 607-616.

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This article examines how some characteristics of Lie algebra variety like co-length are connected with the variety structure in the case of zero-characteristic field. In particular, it is proved that co-length finiteness for the variety $V$ implies the inclusion $U_2\not\subset V\subset N_sA$, where $s$ is some natural number, and, as a consequence, the polynomial growth of the variety $V$. 
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     author = {I. R. Khanina},
     title = {A~necessary condition of co-length finiteness of {Lie} algebra variety in the~case of zero-characteristic field},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {607--616},
     publisher = {mathdoc},
     volume = {6},
     number = {2},
     year = {2000},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2000_6_2_a16/}
}
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I. R. Khanina. A~necessary condition of co-length finiteness of Lie algebra variety in the~case of zero-characteristic field. Fundamentalʹnaâ i prikladnaâ matematika, Tome 6 (2000) no. 2, pp. 607-616. http://geodesic.mathdoc.fr/item/FPM_2000_6_2_a16/