Geodesic
Almost nilpotent varieties of Leibniz algebras
Prikladnaâ diskretnaâ matematika, no. 2 (2015), pp. 30-36.

Voir la notice de l'article provenant de la source Math-Net.Ru

It is proved that there exist exactly two almost nilpotent varieties of Leibniz algebras over a field of zero characteristic.
Keywords: Leibniz algebra, Lie algebra, almost nilpotent variety, Young diagram. 
@article{PDM_2015_2_a2,
     author = {Yu. Yu. Frolova and O. V. Shulezhko},
     title = {Almost nilpotent varieties of {Leibniz} algebras},
     journal = {Prikladna\^a diskretna\^a matematika},
     pages = {30--36},
     publisher = {mathdoc},
     number = {2},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDM_2015_2_a2/}
}
TY  - JOUR
AU  - Yu. Yu. Frolova
AU  - O. V. Shulezhko
TI  - Almost nilpotent varieties of Leibniz algebras
JO  - Prikladnaâ diskretnaâ matematika
PY  - 2015
SP  - 30
EP  - 36
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/PDM_2015_2_a2/
LA  - ru
ID  - PDM_2015_2_a2
ER  - 
%0 Journal Article
%A Yu. Yu. Frolova
%A O. V. Shulezhko
%T Almost nilpotent varieties of Leibniz algebras
%J Prikladnaâ diskretnaâ matematika
%D 2015
%P 30-36
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/PDM_2015_2_a2/
%G ru
%F PDM_2015_2_a2
Yu. Yu. Frolova; O. V. Shulezhko. Almost nilpotent varieties of Leibniz algebras. Prikladnaâ diskretnaâ matematika, no. 2 (2015), pp. 30-36. http://geodesic.mathdoc.fr/item/PDM_2015_2_a2/

[1] Bakhturin Yu. A., Identities of Lie Algebras, Nauka Publ., Moscow, 1985, 448 pp. (in Russian) | MR

[2] Giambruno A., Zaicev M., Polynomial identities and asymptotic methods, American Mathematical Society, Providence, RI, 2005, 352 pp. | MR | Zbl

[3] Shirshov A. I. et al., Rings that are Nearly Associative, Nauka Publ., Moscow, 1978, 432 pp. (in Russian) | MR

[4] Zel'manov E. I., “On Engel Lie algebras”, Reports USSR Academy of Sciences, 292:2 (1987), 265–268 (in Russian) | MR | Zbl

[5] Drensky V., Cattaneo G. M. P., “Varieties of metabelian Leibniz algebras”, J. Algebra Appl., 1:1 (2002), 31–50 | MR | Zbl

[6] Cherevatenko O. I., Some Effects of Linear Algebra Identities Increase, PhD Thesis, Ul'yanovsk, 2008, 69 pp. (in Russian)

[7] Frolova Yu. Yu., “On the nilpotency of Engel Leibniz algebra”, MSU Bulletin. Ser. 1. Mathematics. Mechanics, 2011, no. 3, 63–65 (in Russian) | MR | Zbl