Universal localization of triangular matrix rings

Sheiham, Desmond

doi:10.1090/S0002-9939-06-08420-6

Universal localization of triangular matrix rings
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Proc. Amer. Math. Soc. 134 (2006), 3465-3474 Request permission

Abstract:

If $R$ is a triangular $2\times 2$ matrix ring, the columns $P$ and $Q$ are f.g. projective $R$-modules. We describe the universal localization of $R$ which makes invertible an $R$-module morphism $\sigma :P\to Q$, generalizing a theorem of A. Schofield. We also describe the universal localization of $R$-modules.

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