Varieties of almost polynomial growth: classifying their subvarieties |
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Authors: | Daniela La Mattina |
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Institution: | (1) Dipartimento di Matematica e Applicazioni, Via Archirafi 34, 90123 Palermo, Italy |
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Abstract: | Let G be the infinite dimensional Grassmann algebra over a field F of characteristic zero and UT
2 the algebra of 2 × 2 upper triangular matrices over F. The relevance of these algebras in PI-theory relies on the fact that they generate the only two varieties of almost polynomial
growth, i.e., they grow exponentially but any proper subvariety grows polynomially. In this paper we completely classify,
up to PI-equivalence, the associative algebras A such that A ∈ Var(G) or A ∈ Var(UT
2). |
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Keywords: | Mathematics Subject Classification (2000)" target="_blank">Mathematics Subject Classification (2000) Primary 16R10 Secondary 16P90 |
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