Z[sub]2-graded codimensions of unital algebras

Dušan Repovš (Avtor), Mikhail Zaicev (Avtor)

Povzetek

We study polynomial identities of nonassociative algebras constructed by using infinite binary words and their combinatorial properties. Infinite periodic and Sturmian words were first applied for constructing examples of algebras with an arbitrary real PI-exponent greater than one. Later, we used these algebras for a confirmation of the conjecture that PI-exponent increases precisely by one after adjoining an external unit to a given algebra. Here, we prove the same result for these algebras for graded identities and graded PI-exponent, provided that the grading group is cyclic of order two

Ključne besede

polynomial identities;graded algebras;codimensions;exponential growth;

Podatki

Jezik:	Angleški jezik
Leto izida:	2018
Tipologija:	1.01 - Izvirni znanstveni članek
Organizacija:	UL FMF - Fakulteta za matematiko in fiziko
UDK:	512.554
COBISS:	18344281
ISSN:	0218-1967
Št. ogledov:	448
Št. prenosov:	329
Ocena:	0 (0 glasov)
Metapodatki:

Ostali podatki

Vrsta dela (COBISS):	Članek v reviji
Strani:	str. 483-500
Letnik:	ǂVol. ǂ28
Zvezek:	ǂno. ǂ3
Čas izdaje:	2018
DOI:	10.1142/S0218196718500224
ID:	11214246