Codimension growth of two-dimensional algebras

Antonino Giambruno, Mikhail Zaicev, Giambruno, Sergey Mishchenko

Risultato della ricerca: Article

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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Algebra
Codimension
Nonassociative Algebra
Polynomial Identities
Polynomials
Distinct
Zero
Family

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

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Codimension growth of two-dimensional algebras. / Giambruno, Antonino; Zaicev, Mikhail; Giambruno; Mishchenko, Sergey.

In: Proceedings of the American Mathematical Society, Vol. 135, 2007, pag. 3405-3415.

Risultato della ricerca: Article

Giambruno, A, Zaicev, M, Giambruno & Mishchenko, S 2007, 'Codimension growth of two-dimensional algebras', Proceedings of the American Mathematical Society, vol. 135, pagg. 3405-3415.
Giambruno, Antonino ; Zaicev, Mikhail ; Giambruno ; Mishchenko, Sergey. / Codimension growth of two-dimensional algebras. In: Proceedings of the American Mathematical Society. 2007 ; Vol. 135. pagg. 3405-3415.
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