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math.RA2004★ 1 cited
Canonical Maps to Twisted Rings
D. Rogalski, J. J. Zhang
If A is a strongly noetherian graded algebra generated in degree one, then there is a canonically constructed graded ring homomorphism from A to a twisted homogeneous coordinate ri…
math.RA2003
Idealizer Rings and Noncommutative Projective Geometry
Daniel Rogalski
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…
math.RA2002
Generic Noncommutative Surfaces
Daniel Rogalski
We study a class of noncommutative surfaces and their higher dimensional analogues which provide answers to several open questions in noncommutative projective geometry. Specifical…