Varieties of Algebras of Polynomial Growth

La Mattina, Daniela

Bollettino dell'Unione Matematica Italiana, Tome 1 (2008), p. 525-538 / Harvested from Biblioteca Digitale Italiana di Matematica

Résumé

Let $\mathcal{V}$ be a proper variety of associative algebras over a field $F$ of characteristic zero. It is well-known that $\mathcal{V}$ 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 $\operatorname{\textbf{var}}(G)$ and $\operatorname{\textbf{var}}(UT_2)$, where $G$ is the Grassmann algebra and $UT_2$ is the algebra of $2 \times 2$ upper triangular matrices.

Détail

Publié le : 2008-10-01

MR 2455329 | Zbl 1204.16019

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