Geodesic
On minimal Leibniz\,--\,Poisson algebras of polynomial growth
Dalʹnevostočnyj matematičeskij žurnal, Tome 14 (2014) no. 2, pp. 248-256

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Let $\{\gamma_n({\mathbf V})\}_{n\geq 1}$ be the sequence of proper codimension growth of a variety of Leibniz – Poisson algebras ${\mathbf V}$. We give one class of minimal varieties of Leibniz – Poisson algebras of polynomial growth of the sequence $\{\gamma_n({\mathbf V})\}_{n\geq 1}$, i.e. the sequence of proper codimensions of any such variety grows as a polynomial of some degree $k$, but the sequence of proper codimensions of any proper subvariety grows as a polynomial of degree strictly less than $k$. 
@article{DVMG_2014_14_2_a10,
     author = {S. M. Ratseev},
     title = {On minimal {Leibniz\,--\,Poisson} algebras of polynomial growth},
     journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
     pages = {248--256},
     publisher = {mathdoc},
     volume = {14},
     number = {2},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DVMG_2014_14_2_a10/}
}
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S. M. Ratseev. On minimal Leibniz\,--\,Poisson algebras of polynomial growth. Dalʹnevostočnyj matematičeskij žurnal, Tome 14 (2014) no. 2, pp. 248-256. http://geodesic.mathdoc.fr/item/DVMG_2014_14_2_a10/