Identities of graded simple algebras

Dušan Repovš (Avtor), Mikhail Zaicev (Avtor)

Povzetek

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 ▫$\Gamma$▫.

Ključne besede

polynomial identities;graded algebras;codimensions;exponential growth;

Podatki

Jezik:	Angleški jezik
Leto izida:	2017
Tipologija:	1.01 - Izvirni znanstveni članek
Organizacija:	UL FMF - Fakulteta za matematiko in fiziko
UDK:	512.554
COBISS:	17652313
ISSN:	0308-1087
Št. ogledov:	516
Št. prenosov:	316
Ocena:	0 (0 glasov)
Metapodatki:

Ostali podatki

Vrsta dela (COBISS):	Članek v reviji
Strani:	str. 44-57
Letnik:	ǂVol. ǂ65
Zvezek:	ǂiss. ǂ1
Čas izdaje:	2017
DOI:	10.1080/03081087.2016.1167160
ID:	11222874