Beiträge zur Algebra und Geometrie Contributions to Algebra and Geometry Vol. 44, No. 2, pp. 303308 (2003) 

The GelfandKirillov dimension of rings with Hopf algebra actionThomas Guédénon152, boulevard du Général Jacques, 1050 Bruxelles, Belgique; email: guedenon@caramail.comAbstract: Let $k$ be a perfect field, $H$ a irreducible cocommutative Hopf $k$algebra and $P(H)$ the space of primitive elements of $H$, $R$ a $k$algebra on which acts locally finitely $H$ and $R\#H$ the associated smash product. Assume that $H$ is almost solvable with $P(H)$ finitedimensional $n$ and the sequences of divided powers are all infinite. Then the GelfandKirillov dimension of $R\#H$ is $GK(R)+n$. Full text of the article:
Electronic version published on: 1 Aug 2003. This page was last modified: 4 May 2006.
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