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Graded identities in finite-dimensional algebras of codimensions of identities in associative algebras

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Abstract

Numerical characteristics of identities in finite-dimensional Z2-algebras are studied in the paper. We prove that the graded colength of any such algebra is a polynomially bounded function.

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Authors and Affiliations

  1. Faculty of Mechanics and Mathematics, Moscow State University, Leninskie Gory, Moscow, 119991, Russia

    M.V. Zaicev

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  1. M.V. Zaicev
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Correspondence to M.V. Zaicev.

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Original Russian Text © M.V. Zaicev, 2015, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2015, Vol. 70, No. 5, pp. 54-57.

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Zaicev, M. Graded identities in finite-dimensional algebras of codimensions of identities in associative algebras. Moscow Univ. Math. Bull. 70, 234–236 (2015). https://doi.org/10.3103/S0027132215050101

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  • DOI: https://doi.org/10.3103/S0027132215050101

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