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Toždestva v algebrah i kombinatornye svojstva dvoičnyh slovZaicev, Mikhail, 1955- ; Repovš, Dušan, 1954-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.Source: Doklady Akademii nauk. - ISSN 0869-5652 (T. 489, no. 5, 2019, str. 449-451)Type of material - article, component part ; adult, seriousPublish date - 2019Language - russianCOBISS.SI-ID - 18867801
Author
Zaicev, Mikhail, 1955- |
Repovš, Dušan, 1954-
Topics
identities |
codimensions |
binary words |
combinatorial complexity
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Database name | Field | Year |
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Links to authors' personal bibliographies | Links to information on researchers in the SICRIS system |
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Zaicev, Mikhail, 1955- | |
Repovš, Dušan, 1954- | 07083 |
Source: Personal bibliographies
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