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A Characterization of Varieties of Associative Algebras of Exponent two

Giambruno, A.Zaicev, M. — 2000

Serdica Mathematical Journal

∗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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