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arxiv: math/0305002 · v2 · submitted 2003-04-30 · 🧮 math.RA

Idealizer Rings and Noncommutative Projective Geometry

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keywords ringsgeometryidealizernoncommutativeprojectiveapplicationsartinbehavior
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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 $\chi$-conditions of Artin and Zhang and the strong noetherian property have very different behavior on the left and right sides.

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