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Universal localization of triangular matrix rings

Desmond Sheiham
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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.

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Desmond Sheiham. 2005-07-09. Universal localization of triangular matrix rings. https://arxiv.org/abs/math/0407497

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