Èksponencialʹnyj rost korazmernostej toždestv algebr s edinicej

Mikhail Zaicev (Avtor), Dušan Repovš (Avtor)

Povzetek

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)$▫.

Ključne besede

matematika;identitete;kodimenzija;eksponentna rast;

Podatki

Leto izida:	2015
Tipologija:	1.01 - Izvirni znanstveni članek
Organizacija:	UL FMF - Fakulteta za matematiko in fiziko
UDK:	512.57
COBISS:	17462873
ISSN:	0368-8666
Št. ogledov:	443
Št. prenosov:	213
Ocena:	0 (0 glasov)
Metapodatki:

Ostali podatki

Sekundarni jezik:	Angleški jezik
Sekundarni naslov:	Exponential growth of codimensions of identities of algebras with unity
Sekundarni povzetek:	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)$▫.
Sekundarne ključne besede:	mathematics;identities;codimension;exponential growth;
Vrsta dela (COBISS):	Članek v reviji
Komentar vira:	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],
Strani:	str. 103-126
Letnik:	ǂT. ǂ206
Zvezek:	ǂno. ǂ10
Čas izdaje:	2015
DOI:	http://dx.doi.org/10.4213/sm8454
ID:	11269785