# Growth of some varieties of Leibniz-Poisson algebras

Serdica Mathematical Journal (2011)

- Volume: 37, Issue: 4, page 331-340
- ISSN: 1310-6600

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topRatseev, S. M.. "Growth of some varieties of Leibniz-Poisson algebras." Serdica Mathematical Journal 37.4 (2011): 331-340. <http://eudml.org/doc/281569>.

@article{Ratseev2011,

abstract = {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.},

author = {Ratseev, S. M.},

journal = {Serdica Mathematical Journal},

keywords = {Poisson Algebra; Leibniz-Poisson Algebra; Variety of Algebras; Growth of Variety; Poisson algebra; Leibniz-Poisson algebra; variety of algebras; growth of variety},

language = {eng},

number = {4},

pages = {331-340},

publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},

title = {Growth of some varieties of Leibniz-Poisson algebras},

url = {http://eudml.org/doc/281569},

volume = {37},

year = {2011},

}

TY - JOUR

AU - Ratseev, S. M.

TI - Growth of some varieties of Leibniz-Poisson algebras

JO - Serdica Mathematical Journal

PY - 2011

PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences

VL - 37

IS - 4

SP - 331

EP - 340

AB - 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.

LA - eng

KW - Poisson Algebra; Leibniz-Poisson Algebra; Variety of Algebras; Growth of Variety; Poisson algebra; Leibniz-Poisson algebra; variety of algebras; growth of variety

UR - http://eudml.org/doc/281569

ER -

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