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  • Identities of graded simple algebras
    Repovš, Dušan, 1954- ; Zaicev, Mikhail, 1955-
    We study identities of finite dimensional algebras over a field of characteristic zero, graded by an arbitrary groupoid ▫$\Gamma$▫. First, we prove that its graded colength has a polynomially bounded ... growth. For any graded simple algebra ▫$A$▫, we prove the existence of the graded PI-exponent, provided that ▫$\Gamma$▫ is a commutative semigroup. If ▫$A$▫ is simple in a non-graded sense, the existence of the graded PI-exponent is proved without any restrictions on ▫$\Gamma$▫.
    Vir: Linear and Multilinear Algebra. - ISSN 0308-1087 (Vol. 65, iss. 1, 2017, str. 44-57)
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2017
    Jezik - angleški
    COBISS.SI-ID - 17652313