Varieties of Algebras of polynomial growth

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Abstract

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.
Lingua originaleEnglish
pagine (da-a)525-538
Numero di pagine14
RivistaBOLLETTINO DELLA UNIONE MATEMATICA ITALIANA
VolumeI, n.3 Serie IX,
Stato di pubblicazionePublished - 2008

All Science Journal Classification (ASJC) codes

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