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There are no graded domains with GK dimension strictly between 2 and 3

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Let K be a field, and let R=⊕ n∈N R n be a finitely generated, graded K-algebra which is a domain. It is shown that R cannot have Gelfand-Kirillov dimension strictly between 2 and 3.

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Authors and Affiliations

  1. School of Mathematics, University of Edinburgh, EH 9 3JZ, JCMB, King’s Buildings, Edinburgh, Scotland, UK

    Agata Smoktunowicz

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  1. Agata Smoktunowicz
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Correspondence to Agata Smoktunowicz.

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Mathematics Subject Classification (2000)

16D90, 16P40, 16S80, 16W50

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Smoktunowicz, A. There are no graded domains with GK dimension strictly between 2 and 3. Invent. math. 164, 635–640 (2006). https://doi.org/10.1007/s00222-005-0489-1

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  • DOI: https://doi.org/10.1007/s00222-005-0489-1

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