Canonical Maps to Twisted Rings

Mathematics – Rings and Algebras

Scientific paper

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

Scientific paper

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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