Leto izida: | 2015 |
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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: |
Sekundarni jezik: | Angleški jezik |
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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 |