The Artin-Stafford gap theorem
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- by Agata Smoktunowicz
- Proc. Amer. Math. Soc. 133 (2005), 1925-1928
- DOI: https://doi.org/10.1090/S0002-9939-05-07763-4
- Published electronically: January 31, 2005
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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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- J. T. Stafford and M. van den Bergh, Noncommutative curves and noncommutative surfaces, Bull. Amer. Math. Soc. (N.S.) 38 (2001), no. 2, 171–216. MR 1816070, DOI 10.1090/S0273-0979-01-00894-1
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Bibliographic 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