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.
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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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Rogalski, D., Zhang, J. Canonical maps to twisted rings. Math. Z. 259, 433–455 (2008). https://doi.org/10.1007/s00209-006-0964-4
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DOI: https://doi.org/10.1007/s00209-006-0964-4
Keywords
- Graded ring
- noncommutative projective geometry
- twisted homogeneous coordinate ring
- Gelfand-Kirillov dimension
- strongly noetherian