Universal localization of triangular matrix rings

Details Universal localization of triangular matrix rings Universal localization of triangular matrix rings

2004-07-28

arxiv.org/abs/math/0407497v2

Mathematics

Rings and Algebras

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

Scientific paper

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.

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