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  • On existence of PI-exponents of unital algebras [Elektronski vir]
    Repovš, Dušan, 1954- ; Zaicev, Mikhail, 1955-
    We construct a family of unital non-associative algebras ▫$\{ T_\alpha | 2 < \alpha \in \mathbb{R} \}$▫ such that ▫$\underline{exp}(T_\alpha) = 2$▫, whereas ▫$\alpha \le \overline{exp} (T_\alpha) \le ... \alpha + 1$▫. In particular, it follows that ordinary PI-exponent of codimension growth of algebra ▫$T_\alpha$▫ does not exist for any ▫$\alpha > 2$▫. This is the first example of a unital algebra whose PI-exponent does not exist.
    Vir: Electronic research archive. - ISSN 2688-1594 (Vol. 28, no. 2, June 2020, str. 853-859)
    Vrsta gradiva - e-članek
    Leto - 2020
    Jezik - angleški
    COBISS.SI-ID - 20166147

    Povezava(-e):

    https://doi.org/10.3934/era.2020044
    Repozitorij Univerze v Ljubljani – RUL
    DOI

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