The Gelfand-Kirillov Dimension of Rings with Hopf Algebra Action
نویسنده
چکیده
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) finite-dimensional n and the sequences of divided powers are all infinite. Then the Gelfand-Kirillov dimension of R#H is GK(R) + n.
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