6533b824fe1ef96bd128110f

RESEARCH PRODUCT

Varieties of algebras of polynomial growth

Daniela La Mattina

subject

Settore MAT/02 - Algebrapolynomial identity codimensions.Codimensions T-ideals

description

Let V be a proper variety of associative algebras over a field F of characteristic zero. It is well-known that V can have polynomial or exponential growth and here we present some classification results of varieties of polynomial growth. In particular we classify all subvarieties of the varieties of almost polynomial growth, i.e., the subvarieties of var(G) and var(UT 2), where G is the Grassmann algebra and UT2 is the algebra of 2 x 2 upper triangular matrices.

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