Idealizer Rings and Noncommutative Projective Geometry

Mathematics – Rings and Algebras

Scientific paper

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

Scientific paper

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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