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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