On metabelian varieties of Leibniz--Poisson algebras
The Bulletin of Irkutsk State University. Series Mathematics, Tome 6 (2013) no. 1, pp. 72-77
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In this paper we give algebra constructions that generate the metabelian variety of Leibniz–Poisson algebras with the identity $\{ x, y \} \cdot \{z, t \} = 0$. We give the asymptotic description of the metabelian varieties.
Mots-clés :
Poisson algebra, Leibniz–Poisson algebra
Keywords: variety of algebras, growth of variety.
Keywords: variety of algebras, growth of variety.
@article{IIGUM_2013_6_1_a6,
author = {S. M. Ratseev and O. I. Cherevatenko},
title = {On metabelian varieties of {Leibniz--Poisson} algebras},
journal = {The Bulletin of Irkutsk State University. Series Mathematics},
pages = {72--77},
publisher = {mathdoc},
volume = {6},
number = {1},
year = {2013},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IIGUM_2013_6_1_a6/}
}
TY - JOUR AU - S. M. Ratseev AU - O. I. Cherevatenko TI - On metabelian varieties of Leibniz--Poisson algebras JO - The Bulletin of Irkutsk State University. Series Mathematics PY - 2013 SP - 72 EP - 77 VL - 6 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IIGUM_2013_6_1_a6/ LA - ru ID - IIGUM_2013_6_1_a6 ER -
S. M. Ratseev; O. I. Cherevatenko. On metabelian varieties of Leibniz--Poisson algebras. The Bulletin of Irkutsk State University. Series Mathematics, Tome 6 (2013) no. 1, pp. 72-77. http://geodesic.mathdoc.fr/item/IIGUM_2013_6_1_a6/