paper

Universal localization of triangular matrix rings

arXiv:math/0407497

Abstract

If R is a triangular 2x2 matrix ring, the columns, P and Q, are projective left R-modules. We describe the universal localization of R which makes invertible an R-module morphism P --> Q, generalizing a theorem of A.Schofield. We also describe the universal localization of R-modules.

Author died in March 2005. Revised version prepared by Andrew Ranicki with the assistance of Aidan Schofield. To appear in the Proceedings of the AMS

Universal localization of triangular matrix rings · wovepaper