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∗The first author was partially supported by MURST of Italy; the second author was par-
tially supported by RFFI grant 99-01-00233.
It was recently proved that any variety of associative algebras
over a field of characteristic zero has an integral exponential growth. It is
known that a variety V has polynomial growth if and only if V does not
contain the Grassmann algebra and the algebra of 2 × 2 upper triangular
matrices. It follows that any variety with overpolynomial growth has exponent
at...
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