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  • Kombinatorika dvoičnyh slov i korazmernosti toždestv levonilʹpotentnyh algebr
    Zaicev, Mikhail, 1955- ; Repovš, Dušan, 1954-
    Numerical characteristics of polynomial identities of left nilpotent algebras are examined. Previously, we came up with a construction which, given an infinite binary word, allowed us to build a ... two-step left nilpotent algebra with specified properties of the codimension sequence. However, the class of the infinite words used was confined to periodic words and Sturm words. Here the previously proposed approach is generalized to a considerably more general case. I t is proved that fo r any algebra constructed given a binary word with subexponential function of combinatorial complexity, there exists a Pl-exponent. And its precise value is computed.
    Source: Algebra i logika. - ISSN 0373-9252 (T. 58, vyp. 1, 2019, str. 35-51)
    Type of material - article, component part ; adult, serious
    Publish date - 2019
    Language - russian
    COBISS.SI-ID - 18650201

source: Algebra i logika. - ISSN 0373-9252 (T. 58, vyp. 1, 2019, str. 35-51)
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