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About: Gelfand–Kirillov dimension     Goto   Sponge   NotDistinct   Permalink

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In algebra, the Gelfand–Kirillov dimension (or GK dimension) of a right module M over a k-algebra A is: where the supremum is taken over all finite-dimensional subspaces and . An algebra is said to have polynomial growth if its Gelfand–Kirillov dimension is finite.