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Growth of some varieties of Leibniz-Poisson algebras

Ratseev, S. M. — 2011

Serdica Mathematical Journal

2010 Mathematics Subject Classification: 17A32, 17B63. 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.

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