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/}
}
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/