Toždestva v algebrah i kombinatornye svojstva dvoičnyh slov
Zaicev, Mikhail (Author), Repovš, Dušan (Author)

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Work type:Article (dk_c)
Tipology:1.03 - Short Scientific Article
Organization:PEF - Faculty of Education
Number of pages:str. 449-451
Numbering:no. 5, T. 489
ISSN on article:0869-5652
DOI:10.31857/S0869-56524895449-451 Link is opened in a new window
COBISS.SI-ID:18867801 Link is opened in a new window
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]
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Record is a part of a journal

Title:Doklady Akademii nauk
Shortened title:Dokl. Akad. nauk, Ross. akad. nauk
COBISS.SI-ID:3182425 This link opens in a new window

Secondary language

Title:Identities on algebras and combinatorial properties of binary words
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

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