Geodesic
The estimation of growth of variety of Leibnitz algebras with a nilpotent commutant
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 4 (2010), pp. 65-72 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

In the paper equivalent conditions for the estimation of growth of variety of Leibnitz algebras, particularly, variety of Li algebras with nilpotent commutant are received.
Keywords: Leibniz algebra, growth of variety, exponent of a variety. 
@article{VSGU_2010_4_a7,
     author = {S. M. Ratseev},
     title = {The estimation of growth of variety of {Leibnitz} algebras with a~nilpotent commutant},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {65--72},
     year = {2010},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2010_4_a7/}
}
TY  - JOUR
AU  - S. M. Ratseev
TI  - The estimation of growth of variety of Leibnitz algebras with a nilpotent commutant
JO  - Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ
PY  - 2010
SP  - 65
EP  - 72
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/VSGU_2010_4_a7/
LA  - ru
ID  - VSGU_2010_4_a7
ER  - 
%0 Journal Article
%A S. M. Ratseev
%T The estimation of growth of variety of Leibnitz algebras with a nilpotent commutant
%J Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ
%D 2010
%P 65-72
%N 4
%U http://geodesic.mathdoc.fr/item/VSGU_2010_4_a7/
%G ru
%F VSGU_2010_4_a7
S. M. Ratseev. The estimation of growth of variety of Leibnitz algebras with a nilpotent commutant. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 4 (2010), pp. 65-72. http://geodesic.mathdoc.fr/item/VSGU_2010_4_a7/

[1] Bakhturin Yu. A., Tozhdestva v algebrakh Li, Nauka, M., 1985 | MR | Zbl

[2] Ratseev S. M., “Konechnaya baziruemost nekotorykh mnogoobrazii algebr Leibnitsa”, Izvestiya vysshikh uchebnykh zavedenii. Povolzhskii region, 2007, no. 6(33), 12–16

[3] Ratseev S. M., “Rost nekotorykh mnogoobrazii algebr Leibnitsa”, Vestnik Samarskogo gosudarstvennogo universiteta, 2006, no. 6(46), 70–77 | MR | Zbl

[4] Mischenko S. P., Cherevatenko O. I., “Mnogoobraziya algebr Leibnitsa slabogo rosta”, Vestnik Samarskogo gosudarstvennogo universiteta, 2006, no. 9(49), 19–23

[5] Mischenko S. P., Cherevatenko O. I., “Neobkhodimye i dostatochnye usloviya polinomialnosti rosta mnogoobraziya algebr Leibnitsa”, Fundamentalnaya i prikladnaya matematika, 12:8 (2006), 207–215

[6] Ratseev S. M., “Rost mnogoobrazii algebr Leibnitsa s nilpotentnym kommutantom”, Matem. zametki, 82:1 (2007), 108–117 | DOI | MR | Zbl