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.
|Numero di pagine||17|
|Rivista||Israel Journal of Mathematics|
|Stato di pubblicazione||Published - 2014|
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