The Artin-Stafford gap theorem
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- by Agata Smoktunowicz PDF
- Proc. Amer. Math. Soc. 133 (2005), 1925-1928 Request permission
Abstract:
Let $K$ be an algebraically closed field, and let $R$ be a finitely graded $K$-algebra which is a domain. We show that $R$ cannot have Gelfand-Kirillov dimension strictly between $2$ and $3$.References
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Additional Information
- Agata Smoktunowicz
- Affiliation: Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, P.O. Box 21, 00-956 Warsaw, Poland
- MR Author ID: 367000
- Email: agatasm@impan.gov.pl
- Received by editor(s): February 24, 2004
- Received by editor(s) in revised form: March 15, 2004
- Published electronically: January 31, 2005
- Communicated by: Lance W. Small
- © Copyright 2005 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 133 (2005), 1925-1928
- MSC (2000): Primary 16D90, 16P40, 16S80
- DOI: https://doi.org/10.1090/S0002-9939-05-07763-4
- MathSciNet review: 2137856