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Idealizer Rings and Noncommutative Projective Geometry

2003/04/30 by Daniel Rogalski, Rogalski, Daniel
Mathematics · #14A22 #16W50 #FOS: Mathematics #Rings and Algebras (math.RA) #math.RA #msc:14A22 #msc:16W50

paper · pdf · doi:10.48550/arxiv.math/0305002

17 Pages, revised version: significant changes--introduction rewritten, new section on tensor products added, main theorem restated at end

arxiv created 2004/01/27 · arxiv updated 2009/11/30

Abstract

We study some properties of graded idealizer rings with an emphasis on applications to the theory of noncommutative projective geometry. In particular we give examples of rings for which the χ-conditions of Artin and Zhang and the strong noetherian property have very different behavior on the left and right sides.

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