Idealizer Rings and Noncommutative Projective Geometry

Daniel Rogalski

Idealizer Rings and Noncommutative Projective Geometry

Rings and Algebras 2007-05-23 v2

Authors: Daniel Rogalski

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.

Keywords

commutative ring theory ideal theory commutative algebra

Cite

@article{arxiv.math/0305002,
  title  = {Idealizer Rings and Noncommutative Projective Geometry},
  author = {Daniel Rogalski},
  journal= {arXiv preprint arXiv:math/0305002},
  year   = {2007}
}

Comments

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

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