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Universal localization of triangular matrix rings
Author(s):
Desmond
Sheiham
Journal:
Proc. Amer. Math. Soc.
134
(2006),
3465-3474.
MSC (2000):
Primary 13B30
Posted:
June 12, 2006
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Abstract:
If is a triangular matrix ring, the columns and are f.g. projective -modules. We describe the universal localization of which makes invertible an -module morphism , generalizing a theorem of A. Schofield. We also describe the universal localization of -modules.
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Additional Information:
Desmond
Sheiham
Affiliation:
Department of Mathematics, International University Bremen, Bremen 28759, Germany
DOI:
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
Posted:
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
Copyright of article:
Copyright
2006,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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