Affine semiprime algebras of GK dimension one are (still) pi
Rings and Algebras
2007-05-23 v1
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.
Keywords
Cite
@article{arxiv.math/0211330,
title = {Affine semiprime algebras of GK dimension one are (still) pi},
author = {Christopher J. Pappacena and Lance W. Small and Jeanne Wald},
journal= {arXiv preprint arXiv:math/0211330},
year = {2007}
}
Comments
5 pages; to appear in the Glasgow Mathematical Journal