Mikhail Zaicev (Avtor), Dušan Repovš (Avtor)

Povzetek

We consider polynomial identities and codimension growth of nonassociative algebras over a field of characte-ristics zero. We offer new approach which allows to construct nonassociative algebras starting from a given infinite binary word. The sequence of codimensions of such an algebra is closeely connected with combinatorial complexity of the defining word. These constructions give new examples of algebras with abnormal codimension growth. The first important achievement is that our algebras are finitely generated. The second one is that asymptotic behavior of codimension sequences is quite different unlike all previous examples.

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Leto izida:
Tipologija: 1.03 - Kratki znanstveni prispevek
Organizacija: UL FMF - Fakulteta za matematiko in fiziko
UDK: 512.557
COBISS: 18867801 Povezava se bo odprla v novem oknu
ISSN: 0869-5652
Št. ogledov: 474
Št. prenosov: 159
Ocena: 0 (0 glasov)
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Sekundarni jezik: Angleški jezik
Sekundarni naslov: Identities on algebras and combinatorial properties of binary words
Sekundarni povzetek: We consider polynomial identities and codimension growth of nonassociative algebras over a field of characte-ristics zero. We offer new approach which allows to construct nonassociative algebras starting from a given infinite binary word. The sequence of codimensions of such an algebra is closeely connected with combinatorial complexity of the defining word. These constructions give new examples of algebras with abnormal codimension growth. The first important achievement is that our algebras are finitely generated. The second one is that asymptotic behavior of codimension sequences is quite different unlike all previous examples.
Sekundarne ključne besede: identities;codimensions;binary words;combinatorial complexity;
Vrsta dela (COBISS): Članek v reviji
Komentar vira: Angleški prevod v: ZAICEV, Mikhail, REPOVŠ, Dušan. Identities on algebras and combinatorial properties of binary words. Doklady, Mathematics, ISSN 1064-5624, 2019, vol. 100, no. 3, str. 558-559. https://doi.org/10.1134/S106456241906019X, doi: 10.1134/S106456241906019X. [COBISS.SI-ID 18945625]
Strani: str. 449-451
Letnik: ǂT. ǂ489
Zvezek: ǂno. ǂ5
Čas izdaje: 2019
DOI: 10.31857/S0869-56524895449-451
ID: 11779594