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Gradings on algebras over algebraically closed fields

Published 2 Jul 2014 in math.RA | (1407.0480v1)

Abstract: The classification, both up to isomorphism or up to equivalence, of the gradings on a finite dimensional nonassociative algebra A over an algebraically closed field F, such that its group scheme of automorphisms is smooth, is shown to be equivalent to the corresponding problem for the scalar extension A_K for any algebraically closed field extension K.

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