Mikhail Zaicev (Avtor), Dušan Repovš (Avtor)

Povzetek

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;

Podatki

Leto izida:
Tipologija: 1.01 - Izvirni znanstveni članek
Organizacija: UL FMF - Fakulteta za matematiko in fiziko
UDK: 512.557
COBISS: 18650201 Povezava se bo odprla v novem oknu
ISSN: 0373-9252
Št. ogledov: 492
Št. prenosov: 127
Ocena: 0 (0 glasov)
Metapodatki: JSON JSON-RDF JSON-LD TURTLE N-TRIPLES XML RDFA MICRODATA DC-XML DC-RDF RDF

Ostali podatki

Sekundarni jezik: Angleški jezik
Sekundarni naslov: Combinatorics on binary words and codimensions of identities in left nilpotent algebras
Sekundarni povzetek: 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.
Sekundarne ključne besede: left nilpotent algebra;polynomial identity;codimension;subexponential function of combinatorial complexity;PI-exponent;
Vrsta dela (COBISS): Članek v reviji
Komentar vira: 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
Strani: str. 35-51
Letnik: ǂT. ǂ58
Zvezek: ǂvyp. ǂ1
Čas izdaje: 2019
ID: 11226237