Codimension growth of two-dimensional algebras

Antonino Giambruno, Mikhail Zaicev, Giambruno, Sergey Mishchenko

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4 Citazioni (Scopus)

Abstract

Let F be a field of characteristic zero and let A be a two-dimensional non-associative algebra over F. We prove that the sequence c_n(A), n=1, 2, . . . , of codimensions of A is either bounded by n + 1 or grows exponentially as 2^n. We also construct a family of two-dimensional algebras indexed by rational numbers with distinct T-ideals of polynomial identities and whose codimension sequence is n + 1, n ≥ 2.
Lingua originaleEnglish
pagine (da-a)3405-3415
Numero di pagine11
RivistaProceedings of the American Mathematical Society
Volume135
Stato di pubblicazionePublished - 2007

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All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

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