Varieties of Superalgebras of Polynomial Growth
Serdica Mathematical Journal, Tome 38 (2012) no. 1-3, pp. 237-258
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Let V^gr be a variety of associative superalgebras over a field F of characteristic zero. It is well-known that V gr can have polynomial or exponential growth. Here we present some classification results on varieties of polynomial growth. In particular we classify the varieties of at most linear growth and all subvarieties of the varieties of almost polynomial growth.
Keywords:
Polynomial Identity, Growth, Superalgebra
@article{SMJ2_2012_38_1-3_a11,
author = {La Mattina, Daniela},
title = {Varieties of {Superalgebras} of {Polynomial} {Growth}},
journal = {Serdica Mathematical Journal},
pages = {237--258},
publisher = {mathdoc},
volume = {38},
number = {1-3},
year = {2012},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SMJ2_2012_38_1-3_a11/}
}
La Mattina, Daniela. Varieties of Superalgebras of Polynomial Growth. Serdica Mathematical Journal, Tome 38 (2012) no. 1-3, pp. 237-258. http://geodesic.mathdoc.fr/item/SMJ2_2012_38_1-3_a11/