Kombinatorika dvoičnyh slov i korazmernosti toždestv levonilʹpotentnyh algebr

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

• Jezik: Ruski jezik
• Vrsta gradiva: Članek v reviji
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: PEF - Pedagoška fakulteta; FMF - Fakulteta za matematiko in fiziko
• Leto izida: 2019
• Št. strani: Str. 35-51
• Številčenje: T. 58, vyp. 1
• PID: 20.500.12556/RUL-110555
• UDK: 512.557
• ISSN pri članku: 0373-9252
• COBISS.SI-ID: 18650201

Opomba

Angleški prevod v: ZAICEV, M., REPOVŠ, D. Combinatorics on binary words and codimensions of identities in left nilpotent algebras. Algebra and logic, ISSN 0002-5232, Volume 58, Number 1, March 2019, str. 23-35, DOI: 10.1007/s10469-019-09522-6, COBISS.SI-ID 18649945

• Datum objave v RUL: 17.09.2019

Gradivo je del revije

• Naslov: Algebra i logika
• Skrajšan naslov: Algebra log.
• Založnik: Institut matematiki im. S.L. Soboleva SO RAN
• ISSN: 0373-9252
• COBISS.SI-ID: 24917248

Sekundarni jezik

• Jezik: Angleški jezik
• Naslov: Combinatorics on binary words and codimensions of identities in left nilpotent algebras

Izvleček

Numerical characteristics of polynomial identities of left nilpotent algebras are examined. Previously, we came up with a construction which, given an infinite binary word, allowed us to build a two-step left nilpotent algebra with specified properties of the codimension sequence. However, the class of the infinite words used was confined to periodic words and Sturm words. Here the previously proposed approach is generalized to a considerably more general case. I t is proved that fo r any algebra constructed given a binary word with subexponential function of combinatorial complexity, there exists a Pl-exponent. And its precise value is computed.

• Ključne besede: left nilpotent algebra, polynomial identity, codimension, subexponential function of combinatorial complexity, PI-exponent