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

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

2002-11-20

arxiv.org/abs/math/0211330v1

Mathematics

Rings and Algebras

5 pages; to appear in the Glasgow Mathematical Journal

Scientific paper

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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