Toždestva v algebrah i kombinatornye svojstva dvoičnyh slov

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

• Language: Russian
• Work type: Article
• Typology: 1.03 - Short Scientific Article
• Organization: PEF - Faculty of Education; FMF - Faculty of Mathematics and Physics
• Year: 2019
• Number of pages: Str. 449-451
• Numbering: T. 489, no. 5
• PID: 20.500.12556/RUL-116659
• UDC: 512.557
• ISSN on article: 0869-5652
• DOI: 10.31857/S0869-56524895449-451
• COBISS.SI-ID: 18867801

Note

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]

• Publication date in RUL: 01.06.2020

Record is a part of a journal

• Title: Doklady Akademii nauk
• Shortened title: Dokl. Akad. nauk, Ross. akad. nauk
• Publisher: Nauka
• ISSN: 0869-5652
• COBISS.SI-ID: 3182425

Secondary language

• Language: English
• Title: Identities on algebras and combinatorial properties of binary words

Abstract

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.

• Keywords: identities, codimensions, binary words, combinatorial complexity