Idealizer Rings and Noncommutative Projective Geometry

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

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