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  • ▫$\mathbb{Z}_2$▫-graded codimensions of unital algebras
    Repovš, Dušan, 1954- ; Zaicev, Mikhail, 1955-
    We study polynomial identities of nonassociative algebras constructed by using infinite binary words and their combinatorial properties. Infinite periodic and Sturmian words were first applied for ... constructing examples of algebras with an arbitrary real PI-exponent greater than one. Later, we used these algebras for a confirmation of the conjecture that PI-exponent increases precisely by one after adjoining an external unit to a given algebra. Here, we prove the same result for these algebras for graded identities and graded PI-exponent, provided that the grading group is cyclic of order two
    Vir: International journal of algebra and computation. - ISSN 0218-1967 (Vol. 28, no. 3, 2018, str. 483-500)
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2018
    Jezik - angleški
    COBISS.SI-ID - 18344281

    Povezava(-e):

    https://doi.org/10.1142/S0218196718500224
    Repozitorij Univerze v Ljubljani – RUL
    DOI

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