Hostname: page-component-cd9895bd7-hc48f Total loading time: 0 Render date: 2024-12-25T07:40:29.369Z Has data issue: false hasContentIssue false
  • English
  • Français

AFFINE SEMIPRIME ALGEBRAS OF GK DIMENSION ONE ARE (STILL) PI

Published online by Cambridge University Press:  31 July 2003

CHRISTOPHER J. PAPPACENA ,
LANCE W. SMALL  and
JEANNE WALD
CHRISTOPHER J. PAPPACENA
Affiliation:
Department of Mathematics, Baylor University, Waco, TX 76798 e-mail: Chris_Pappacena@baylor.edu
LANCE W. SMALL
Affiliation:
Department of Mathematics, University of California, San Diego, CA 92093 e-mail: lwsmall@ucsd.edu
JEANNE WALD
Affiliation:
Department of Mathematics, Michigan State University, East Lansing, MI 48824 e-mail: wald@math.msu.edu
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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

16P9016R20
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 45 , Issue 2 , May 2003 , pp. 243 - 247
Copyright
2003 Glasgow Mathematical Journal Trust