Abstract
Let G be the infinite dimensional Grassmann algebra over a field F of characteristic zero and UT2 the algebra of 2 x 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 is an element of Var(G) or A is an element of Var(UT2).
Lingua originale | English |
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pagine (da-a) | 185-203 |
Numero di pagine | 19 |
Rivista | Manuscripta Mathematica |
Volume | 123 |
Stato di pubblicazione | Published - 2007 |
All Science Journal Classification (ASJC) codes
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