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

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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.
5 pages; to appear in the Glasgow Mathematical Journal

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Rings and Algebras, 16P90, 16R20

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http://salesiana.dossiersoluciones.com/handle/123456789/65736

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0211330
 http://arxiv.org/abs/math/0211330

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arXiv