On algebras of polynomial codimension growth

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Abstract

Let A be an associative algebra over a field F of characteristic zero and let c_n(A), n = 1,2,..., be the sequence of codimensions of A. It is well-known that c_n(A), n = 1,2,..., cannot have intermediate growth, i.e., either is polynomially bounded or grows exponentially. Here we present some results on algebras whose sequence of codimensions is polynomially bounded.
Lingua originaleEnglish
pagine (da-a)312-320
Numero di pagine9
RivistaSÃO PAULO JOURNAL OF MATHEMATICAL SCIENCES
Volume10
Stato di pubblicazionePublished - 2016

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Statistics, Probability and Uncertainty
  • Computational Theory and Mathematics

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