Geodesic
On growth of varieties of commutative linear algebras
Fundamentalʹnaâ i prikladnaâ matematika, Tome 14 (2008) no. 5, pp. 165-170
Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

There exists a varieties of commutative linear algebras over a field of zero characteristic whose exponent is equal to $\alpha$ for any real $\alpha>1$ and the intermediate growth is $n^{n^\beta}$ for any real $0\beta1$. 
@article{FPM_2008_14_5_a10,
     author = {S. S. Mishchenko},
     title = {On growth of varieties of commutative linear algebras},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {165--170},
     year = {2008},
     volume = {14},
     number = {5},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2008_14_5_a10/}
}
TY  - JOUR
AU  - S. S. Mishchenko
TI  - On growth of varieties of commutative linear algebras
JO  - Fundamentalʹnaâ i prikladnaâ matematika
PY  - 2008
SP  - 165
EP  - 170
VL  - 14
IS  - 5
UR  - http://geodesic.mathdoc.fr/item/FPM_2008_14_5_a10/
LA  - ru
ID  - FPM_2008_14_5_a10
ER  - 
%0 Journal Article
%A S. S. Mishchenko
%T On growth of varieties of commutative linear algebras
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2008
%P 165-170
%V 14
%N 5
%U http://geodesic.mathdoc.fr/item/FPM_2008_14_5_a10/
%G ru
%F FPM_2008_14_5_a10
S. S. Mishchenko. On growth of varieties of commutative linear algebras. Fundamentalʹnaâ i prikladnaâ matematika, Tome 14 (2008) no. 5, pp. 165-170. http://geodesic.mathdoc.fr/item/FPM_2008_14_5_a10/

[1] Volichenko I. B., “Mnogoobrazie algebr Li s tozhdestvom $[[X_1,X_2,X_3],[X_4,X_5,X_6]]=0$ nad polem kharakteristiki nul”, Sib. mat. zhurn., 25:3 (1984), 40–54 | MR | Zbl

[2] Zaitsev M. V., “Tselochislennost eksponent rosta tozhdestv konechnomernykh algebr Li”, Izv. RAN. Ser. mat., 66:3 (2002), 23–48 | MR | Zbl

[3] Mischenko S. P., “O mnogoobraziyakh algebr Li promezhutochnogo rosta”, Vestsi AN BSSR, 126:2 (1987), 42–45

[4] Petrogradskii V. M., “Rost polinilpotentnykh mnogoobrazii algebr Li i bystro rastuschie funktsii”, Mat. sb., 188:6 (1997), 119–138 | MR | Zbl

[5] Giambruno A., Mishchenko S., Zaicev M., “Algebras with intermediate growth of the codimensions”, Adv. Appl. Math., 37:3 (2006), 360–377 | DOI | MR | Zbl

[6] Giambruno A., Mishchenko S., Zaicev M., “Codimensions of algebras and growth functions”, Adv. Math., 217 (2008), 1027–1052 | DOI | MR | Zbl

[7] Giambruno A., Zaicev M., “On codimension growth of finitely generated associative algebras”, Adv. Math., 140 (1998), 145–155 | DOI | MR | Zbl

[8] Giambruno A., Zaicev M., “Exponential codimension growth of P.I. algebras: An exact estimate”, Adv. Math., 142 (1999), 221–243 | DOI | MR | Zbl

[9] Regev A., “Existence of identities in $A\otimes B$”, Israel J. Math., 11 (1972), 131–152 | DOI | MR | Zbl