Numerical invariants of identities of unital algebras

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

We study polynomial identities of algebras with adjoined external unit. For a wide class of algebras we prove that adjoining external unit element leads to increasing of PI-exponent precisely to 1. We also show that any real number from the interval $[2,3]$ can be realized as PI-exponent of some unital algebra.

• Jezik: Angleški jezik
• Ključne besede: codimension, exponential growth, fractional PI-exponent, non-associative unital algebra, polynomial identity
• Vrsta gradiva: Članek v reviji
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: PEF - Pedagoška fakulteta; FMF - Fakulteta za matematiko in fiziko
• Leto izida: 2015
• Št. strani: Str. 3823-3839
• Številčenje: Vol. 43, iss. 9
• PID: 20.500.12556/RUL-111407
• UDK: 512.552
• ISSN pri članku: 0092-7872
• DOI: http://dx.doi.org/10.1080/00927872.2014.924130
• COBISS.SI-ID: 17339737
• Datum objave v RUL: 30.09.2019

REPOVŠ, Dušan in ZAICEV, Mikhail, 2015, Numerical invariants of identities of unital algebras. Communications in algebra [na spletu]. 2015. Vol. 43, no. 9, p. 3823–3839. [Dostopano 13 april 2025]. DOI http://dx.doi.org/10.1080/00927872.2014.924130. Pridobljeno s: https://repozitorij.uni-lj.si/IzpisGradiva.php?lang=slv&id=111407

Gradivo je del revije

• Naslov: Communications in algebra
• Skrajšan naslov: Commun. algebra
• Založnik: Taylor & Francis
• ISSN: 0092-7872
• COBISS.SI-ID: 25249792