Geodesic
Growth of some varieties of Leibniz-Poisson algebras
Serdica Mathematical Journal, Tome 37 (2011) no. 4, pp. 331-340.

Voir la notice de l'article provenant de la source Bulgarian Digital Mathematics Library

Let V be a variety of Leibniz-Poisson algebras over an arbitrary field whose ideal of identities contains the identities {{x1,y1},{x2,y2},ј,{xm,ym}} = 0, {x1,y1}·{x2,y2}· ј ·{xm,ym} = 0 for some m. It is shown that the exponent of V exists and is an integer.
Keywords: Poisson Algebra, Leibniz-Poisson Algebra, Variety of Algebras, Growth of Variety 
@article{SMJ2_2011_37_4_a5,
     author = {Ratseev, S. M.},
     title = {Growth of some varieties of {Leibniz-Poisson} algebras},
     journal = {Serdica Mathematical Journal},
     pages = {331--340},
     publisher = {mathdoc},
     volume = {37},
     number = {4},
     year = {2011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SMJ2_2011_37_4_a5/}
}
TY  - JOUR
AU  - Ratseev, S. M.
TI  - Growth of some varieties of Leibniz-Poisson algebras
JO  - Serdica Mathematical Journal
PY  - 2011
SP  - 331
EP  - 340
VL  - 37
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SMJ2_2011_37_4_a5/
LA  - en
ID  - SMJ2_2011_37_4_a5
ER  - 
%0 Journal Article
%A Ratseev, S. M.
%T Growth of some varieties of Leibniz-Poisson algebras
%J Serdica Mathematical Journal
%D 2011
%P 331-340
%V 37
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SMJ2_2011_37_4_a5/
%G en
%F SMJ2_2011_37_4_a5
Ratseev, S. M. Growth of some varieties of Leibniz-Poisson algebras. Serdica Mathematical Journal, Tome 37 (2011) no. 4, pp. 331-340. http://geodesic.mathdoc.fr/item/SMJ2_2011_37_4_a5/