Poisson Algebra Leibniz-Poisson Algebra Variety of Algebras Growth of Variety
Issue Date:
2011
Publisher:
Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation:
Serdica Mathematical Journal, Vol. 37, No 4, (2011), 331p-340p
Abstract:
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.