Canonical Maps to Twisted Rings

D. Rogalski; J. J. Zhang

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Canonical Maps to Twisted Rings

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arxiv math/0409405 v2 pith:VDTTDUXI submitted 2004-09-21 math.RA math.AG

D. Rogalski , J. J. Zhang This is my paper

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keywords gradedringsdegreeringtwistedalgebracanonicalcanonically

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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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