Identities of graded simple algebras

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

We study identities of finite dimensional algebras over a field of characteristic zero, graded by an arbitrary groupoid $\Gamma$. First, we prove that its graded colength has a polynomially bounded growth. For any graded simple algebra $A$, we prove the existence of the graded PI-exponent, provided that $\Gamma$ is a commutative semigroup. If $A$ is simple in a non-graded sense, the existence of the graded PI-exponent is proved without any restrictions on $\Gamma$.

• Jezik: Angleški jezik
• Ključne besede: polynomial identities, graded algebras, codimensions, exponential growth
• Vrsta gradiva: Članek v reviji
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: PEF - Pedagoška fakulteta; FMF - Fakulteta za matematiko in fiziko
• Leto izida: 2017
• Št. strani: Str. 44-57
• Številčenje: Vol. 65, iss. 1
• PID: 20.500.12556/RUL-110327
• UDK: 512.554
• ISSN pri članku: 0308-1087
• DOI: 10.1080/03081087.2016.1167160
• COBISS.SI-ID: 17652313
• Datum objave v RUL: 13.09.2019

REPOVŠ, Dušan in ZAICEV, Mikhail, 2017, Identities of graded simple algebras. Linear and multilinear algebra [na spletu]. 2017. Vol. 65, no. 1, p. 44–57. [Dostopano 13 april 2025]. DOI 10.1080/03081087.2016.1167160. Pridobljeno s: https://repozitorij.uni-lj.si/IzpisGradiva.php?lang=slv&id=110327

Gradivo je del revije

• Naslov: Linear and multilinear algebra
• Skrajšan naslov: Linear multilinear algebra
• Založnik: Taylor & Francis
• ISSN: 0308-1087
• COBISS.SI-ID: 25872128