Affine semiprime algebras of GK dimension one are (still) pi
classification
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keywords
affinealgebradimensionproofsemiprimealgebrasbounddegree
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In this note, we give a new proof of the fact that an affine semiprime algebra R of Gelfand-Kirillov dimension 1 satisfies a polynomial identity. Our proof uses only the growth properties of the algebra and yields an explicit upper bound for the pi degree of R.
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