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:
Tipologija: 1.01 - Izvirni znanstveni članek
Organizacija: UL FMF - Fakulteta za matematiko in fiziko
UDK: 512.57
COBISS: 17462873 Povezava se bo odprla v novem oknu
ISSN: 0368-8666
Št. ogledov: 443
Št. prenosov: 213
Ocena: 0 (0 glasov)
Metapodatki: JSON JSON-RDF JSON-LD TURTLE N-TRIPLES XML RDFA MICRODATA DC-XML DC-RDF RDF

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