Keywords: variety of algebras, growth of a variety.
@article{VTGU_2013_2_a5,
author = {S. M. Ratseev and O. I. Cherevatenko},
title = {On some varieties of {Leibniz{\textendash}Poisson} algebras with extreme properties},
journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
pages = {57--59},
year = {2013},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VTGU_2013_2_a5/}
}
TY - JOUR AU - S. M. Ratseev AU - O. I. Cherevatenko TI - On some varieties of Leibniz–Poisson algebras with extreme properties JO - Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika PY - 2013 SP - 57 EP - 59 IS - 2 UR - http://geodesic.mathdoc.fr/item/VTGU_2013_2_a5/ LA - ru ID - VTGU_2013_2_a5 ER -
%0 Journal Article %A S. M. Ratseev %A O. I. Cherevatenko %T On some varieties of Leibniz–Poisson algebras with extreme properties %J Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika %D 2013 %P 57-59 %N 2 %U http://geodesic.mathdoc.fr/item/VTGU_2013_2_a5/ %G ru %F VTGU_2013_2_a5
S. M. Ratseev; O. I. Cherevatenko. On some varieties of Leibniz–Poisson algebras with extreme properties. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 2 (2013), pp. 57-59. http://geodesic.mathdoc.fr/item/VTGU_2013_2_a5/
[1] Ratseev S. M., “Kommutativnye algebry Leibnitsa–Puassona polinomialnogo rosta”, Vestnik Samarskogo gosudarstvennogo universiteta. Estestvennonauchnaya seriya, 2012, no. 3/1(94), 54–65
[2] Mishchenko S., Valenti A., “A Leibniz variety with almost polynomial growth”, J. Pure Appl. Algebra, 202:1–3 (2005), 82–101 | DOI | MR | Zbl
[3] Abanina L. E., Ratseev S. M., “Mnogoobrazie algebr Leibnitsa, svyazannoe so standartnymi tozhdestvami”, Vestnik Samarskogo gosudarstvennogo universiteta. Estestvennonauchnaya seriya, 2005, no. 6, 36–50 | MR | Zbl
[4] Abanina L. E., Mischenko S. P., “Nekotorye mnogoobraziya algebr Leibnitsa”, Matematicheskie metody i prilozheniya, Trudy Desyatykh matematicheskikh chtenii MGSU, Soyuz, M., 2002, 95–99
[5] Ratseev S. M., “On varieties of Leibniz–Poisson algebras with the identity $\{x,y\}\cdot\{z,t\}=0$”, Zhurn. SFU. Ser. Matem. i fiz., 6:1 (2013), 97–104