An almost nilpotent variety of exponent 2

Mishchenko, S

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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Nonassociative Algebra
Exponential Growth
Codimension
Deduce
Exponent
Zero

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An almost nilpotent variety of exponent 2. / Mishchenko, S.

In: Israel Journal of Mathematics, Vol. 199, 2014, pag. 241-257.

Risultato della ricerca: Article

Mishchenko, S 2014, 'An almost nilpotent variety of exponent 2', Israel Journal of Mathematics, vol. 199, pagg. 241-257.
Mishchenko, S. / An almost nilpotent variety of exponent 2. In: Israel Journal of Mathematics. 2014 ; Vol. 199. pagg. 241-257.
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