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Affine semiprime algebras of GK dimension one are (still) pi

Christopher J. Pappacena·Lance W. Small·Jeanne Wald
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Abstract

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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Christopher J. Pappacena, Lance W. Small, Jeanne Wald. 2002-11-20. Affine semiprime algebras of GK dimension one are (still) pi. https://arxiv.org/abs/math/0211330

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