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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Universal localization of triangular matrix rings


Author: Desmond Sheiham
Journal: Proc. Amer. Math. Soc. 134 (2006), 3465-3474
MSC (2000): Primary 13B30
Published electronically: June 12, 2006
MathSciNet review: 2240657
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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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Additional Information

Desmond Sheiham
Affiliation: Department of Mathematics, International University Bremen, Bremen 28759, Germany

DOI: http://dx.doi.org/10.1090/S0002-9939-06-08420-6
PII: S 0002-9939(06)08420-6
Received by editor(s): October 22, 2004
Received by editor(s) in revised form: May 31, 2005, and July 7, 2005
Published electronically: June 12, 2006
Additional Notes: Desmond Sheiham died on March 25, 2005. This article was prepared for publication by Andrew Ranicki, with the assistance of Aidan Schofield.
Communicated by: Martin Lorenz
Article copyright: © Copyright 2006 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.