An almost nilpotent variety of exponent 2

Angela Valenti, Sergey Mishchenko

Risultato della ricerca: Article

9 Citazioni (Scopus)

Abstract

We construct a non-associative algebra A over a field of characteristic zero with the following properties: if V is the variety generated by A, then V has exponential growth but any proper subvariety of V is nilpotent.Moreover, by studying the asymptotics of the sequence of codimensions of A we deduce that exp(V) = 2.
Lingua originaleEnglish
pagine (da-a)241-257
Numero di pagine17
RivistaIsrael Journal of Mathematics
Volume199
Stato di pubblicazionePublished - 2014

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All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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