Èksponencialʹnyj rost korazmernostej toždestv algebr s edinicej

Zaicev, Mikhail (avtor), Repovš, Dušan (avtor)

• Jezik: Ruski jezik
• Vrsta gradiva: Članek v reviji
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: PEF - Pedagoška fakulteta; FMF - Fakulteta za matematiko in fiziko
• Leto izida: 2015
• Št. strani: Str. 103-126
• Številčenje: T. 206, no. 10
• PID: 20.500.12556/RUL-112542
• UDK: 512.57
• ISSN pri članku: 0368-8666
• DOI: http://dx.doi.org/10.4213/sm8454
• COBISS.SI-ID: 17462873

Opomba

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],

• Datum objave v RUL: 23.10.2019

ZAICEV, Mikhail in REPOVŠ, Dušan, 2015, Èksponencialʹnyj rost korazmernostej toždestv algebr s edinicej. Matematičeskij sbornik [na spletu]. 2015. Vol. T. 206, no. 10, p. 103–126. [Dostopano 8 april 2025]. DOI http://dx.doi.org/10.4213/sm8454. Pridobljeno s: https://repozitorij.uni-lj.si/IzpisGradiva.php?lang=slv&id=112542

Gradivo je del revije

• Naslov: Matematičeskij sbornik
• Skrajšan naslov: Mat. sb.
• Založnik: Nauka
• ISSN: 0368-8666
• COBISS.SI-ID: 5292295

Sekundarni jezik

• Jezik: Angleški jezik
• Naslov: Exponential growth of codimensions of identities of algebras with unity

Izvleček

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, mathematics, identities, codimension, exponential growth