Canonical maps to twisted rings |
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| Authors: | D. Rogalski J. J. Zhang |
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| Affiliation: | (1) Department of Mathematics, UCSD, La Jolla, CA 92093, USA;(2) Department of Mathematics, University of Washington, Box 354350, Seattle, WA 98195, USA |
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| Abstract: | If A is a strongly noetherian graded algebra generated in degree one, then there is a canonically constructed graded ring homomorphism from A to a twisted homogeneous coordinate ring  , which is surjective in large degree. This result is a key step in the study of projectively simple rings. The proof relies on some results concerning the growth of graded rings which are of independent interest. D. Rogalski was partially supported by NSF grant DMS-0202479. J. J. Zhang was partially supported by NSF grant DMS-0245420 and Leverhulme Research Interchange Grant F/00158/X (UK). |
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| Keywords: | Graded ring noncommutative projective geometry twisted homogeneous coordinate ring Gelfand-Kirillov dimension strongly noetherian |
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