Exponential growth of codimensions of identities of algebras with unity

被引：1

作者：

Zaicev, M. V. ^{[1
]}

Repovs, D. ^{[2
]}

机构：

[1] Moscow MV Lomonosov State Univ, Fac Mech & Math, Moscow, Russia

[2] Univ Ljubljana, Ljubljana 61000, Slovenia

来源：

SBORNIK MATHEMATICS | 2015年 / 206卷 / 10期

基金：

俄罗斯基础研究基金会;

关键词：

identities; codimensions; exponential growth; POLYNOMIAL-IDENTITIES; ASYMPTOTIC-BEHAVIOR; POISSON ALGEBRAS; LIE-ALGEBRAS;

D O I：

10.1070/SM2015v206n10ABEH004501

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The asymptotic behaviour is studied of exponentially bounded sequences of codimensions of identities of algebras with unity. A series of algebras is constructed for which the base of the exponential increases by exactly 1 when an outer unity is adjoined to the original algebra. It is shown that the PI-exponents of unital algebras can take any value greater than 2, and the exponents of finite-dimensional unital algebras form a dense subset in the domain [2, infinity).

引用

页码：1440 / 1462

页数：23