Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/2741

 Title: Growth of some varieties of Leibniz-Poisson algebras Authors: Ratseev, S. M. Keywords: Poisson AlgebraLeibniz-Poisson AlgebraVariety of AlgebrasGrowth 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. Description: 2010 Mathematics Subject Classification: 17A32, 17B63. URI: http://hdl.handle.net/10525/2741 ISSN: 1310-6600 Appears in Collections: Volume 37, Number 4

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