Èksponencialʹnyj rost korazmernostej toždestv algebr s edinicej

Mikhail Zaicev (Author), Dušan Repovš (Author)

Abstract

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 ▫$ \lbrack 2,\infty)$▫.

Keywords

matematika;identitete;kodimenzija;eksponentna rast;

Data

Year of publishing:	2015
Typology:	1.01 - Original Scientific Article
Organization:	UL FMF - Faculty of Mathematics and Physics
UDC:	512.57
COBISS:	17462873
ISSN:	0368-8666
Views:	443
Downloads:	213
Average score:	0 (0 votes)
Metadata:

Other data

Secondary language:	English
Secondary title:	Exponential growth of codimensions of identities of algebras with unity
Secondary abstract:	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 ▫$ \lbrack 2,\infty)$▫.
Secondary keywords:	mathematics;identities;codimension;exponential growth;
Type (COBISS):	Article
Source comment:	Angleški prevod v:ZAICEV, Mikhail, REPOVŠ, Dušan. Exponential growth of codimensions of identities of algebras with unity. Sbornik, Mathematics, ISSN 1064-5616. [Print ed.], 2015, vol. 206, no. 10, str. 1440-1462. http://dx.doi.org/10.1070/SM2015v206n10ABEH004501. [COBISS.SI-ID 17554777],
Pages:	str. 103-126
Volume:	ǂT. ǂ206
Issue:	ǂno. ǂ10
Chronology:	2015
DOI:	http://dx.doi.org/10.4213/sm8454
ID:	11269785