There are no graded domains with GK dimension strictly between 2 and 3 |
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Authors: | Agata Smoktunowicz |
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Affiliation: | (1) School of Mathematics, University of Edinburgh, EH 9 3JZ, JCMB, King’s Buildings, Edinburgh, Scotland, UK |
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Abstract: | Let K be a field, and let R=⊕n∈NRn 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. Mathematics Subject Classification (2000) 16D90, 16P40, 16S80, 16W50 |
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