Toždestva v algebrah i kombinatornye svojstva dvoičnyh slov

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

• Jezik: Ruski jezik
• Vrsta gradiva: Članek v reviji
• Tipologija: 1.03 - Kratki znanstveni prispevek
• Organizacija: PEF - Pedagoška fakulteta; FMF - Fakulteta za matematiko in fiziko
• Leto izida: 2019
• Št. strani: Str. 449-451
• Številčenje: T. 489, no. 5
• PID: 20.500.12556/RUL-116659
• UDK: 512.557
• ISSN pri članku: 0869-5652
• DOI: 10.31857/S0869-56524895449-451
• COBISS.SI-ID: 18867801

Opomba

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]

• Datum objave v RUL: 01.06.2020

Gradivo je del revije

• Naslov: Doklady Akademii nauk
• Skrajšan naslov: Dokl. Akad. nauk, Ross. akad. nauk
• Založnik: Nauka
• ISSN: 0869-5652
• COBISS.SI-ID: 3182425

Sekundarni jezik

• Jezik: Angleški jezik
• Naslov: Identities on algebras and combinatorial properties of binary words

Izvleček

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.

• Ključne besede: identities, codimensions, binary words, combinatorial complexity