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Canonical Maps to Twisted Rings

环与代数 2007-05-23 v2 代数几何

摘要

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 B(X, L, sigma), 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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引用

@article{arxiv.math/0409405,
  title  = {Canonical Maps to Twisted Rings},
  author = {D. Rogalski and J. J. Zhang},
  journal= {arXiv preprint arXiv:math/0409405},
  year   = {2007}
}

备注

LaTeX, 21 pages; corollary of main theorem added to intro; other minor changes from ver. 1