Polynomial codimension growth and the Specht problem

Antonino Giambruno, Angela Valenti, Mikhail Zaicev, Sergey Mishchenko

Risultato della ricerca: Article

5 Citazioni (Scopus)

Abstract

We construct a continuous family of algebras over a field of characteristic zero with slow codimension growth bounded by a polynomial of degree 4. This is achieved by building, for any real number α ∈(0, 1) a commutative nonassociative algebra A_α whose codimension sequence c_n(A_α), n =1, 2, ..., is polynomially bounded .As an application we are able to construct a new example of a variety with an infinite basis of identities.
Lingua originaleEnglish
pagine (da-a)421-436
Numero di pagine16
RivistaJournal of Algebra
Volume469
Stato di pubblicazionePublished - 2017

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All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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