Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/419

 Title: A Characterization of Varieties of Associative Algebras of Exponent two Authors: Giambruno, A.Zaicev, M. Keywords: Variety of AlgebrasPolynomial Identity Issue Date: 2000 Publisher: Institute of Mathematics and Informatics Citation: Serdica Mathematical Journal, Vol. 26, No 3, (2000), 245p-252p Abstract: 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 least 2. In this note we characterize varieties of exponent 2 by exhibiting a finite list of algebras playing a role similar to the one played by the two algebras above. Description: ∗The first author was partially supported by MURST of Italy; the second author was par- tially supported by RFFI grant 99-01-00233. URI: http://hdl.handle.net/10525/419 ISSN: 1310-6600 Appears in Collections: Volume 26 Number 3

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