On growth of varieties of commutative linear algebras

被引：0

作者：

Mishchenko S.S. ^{[1
]}

机构：

[1] Faculty of Mathematics and Information Technologies, Ulyanovsk State University

来源：

Journal of Mathematical Sciences | 2009年 / 163卷 / 6期

基金：

俄罗斯基础研究基金会;

关键词：

Variety Versus; Associative Algebra; Free Algebra; Double Inequality; Intermediate Growth;

D O I：

10.1007/s10958-009-9710-x

中图分类号：

学科分类号：

摘要：

There exists varieties of commutative linear algebras over a field of zero characteristic whose exponent is equal to α for any real α > 1 and the intermediate growth is nnβ for any real 0 < β < 1. © 2009 Springer Science+Business Media, Inc.

引用

页码：739 / 742

页数：3

共 50 条

[1] VARIETIES OF LINEAR ALGEBRAS OF POLYNOMIAL GROWTH
Cherevatenko, O. I.
VESTNIK SAMARSKOGO GOSUDARSTVENNOGO TEKHNICHESKOGO UNIVERSITETA-SERIYA-FIZIKO-MATEMATICHESKIYE NAUKI, 2013, (04): : 7 - 14
[2] On the finite axiomatizability of varieties of commutative unary algebras
V. K. Kartashov
Journal of Mathematical Sciences, 2010, 164 (1) : 56 - 59
[3] Free Algebras in Finitely Generated Varieties of Commutative BCK-algebras
Cenker, Vaclav
ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 2025,
[4] The growth of varieties generated by upper-triangular matrices algebras
Ratseev S.M.
Moscow University Mathematics Bulletin, 2011, 66 (1) : 50 - 51
[5] Almost polynomial growth: Classifying varieties of graded algebras
Daniela La Mattina
Israel Journal of Mathematics, 2015, 207 : 53 - 75
[6] On the Kurosh problem in varieties of algebras
Piontkovski D.I.
Journal of Mathematical Sciences, 2009, 163 (6) : 743 - 750
[7] Varieties with at most quadratic growth
S. Mishchenko
A. Valenti
Israel Journal of Mathematics, 2010, 178 : 209 - 228
[8] FREE ALGEBRAS IN VARIETIES
Pavlik, Jan
ARCHIVUM MATHEMATICUM, 2010, 46 (01): : 25 - 38
[9] Commutative Moufang loops and alternative algebras
Grishkov, Alexander N.
Shestakov, Ivan P.
JOURNAL OF ALGEBRA, 2011, 333 (01) : 1 - 13
[10] Degenerations of nilpotent associative commutative algebras
Kaygorodov, Ivan
Lopes, Samuel A.
Popov, Yury
COMMUNICATIONS IN ALGEBRA, 2020, 48 (04) : 1632 - 1639

← 1 2 3 4 5 →