Flatness and the Ore condition for rings
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- by Peter Teichner PDF
- Proc. Amer. Math. Soc. 131 (2003), 1977-1980 Request permission
Abstract:
We prove the following result on the universal localization of a ring $R$ at an ideal $I$: If the universal localization is flat as an $R$-module, then $R$ satisfies the Ore condition with respect to the multiplicative set of elements that become invertible modulo $I$. It is well known that for domains the converse of this result holds, and hence we have found in this case a new characterization of the Ore condition.References
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Additional Information
- Peter Teichner
- Affiliation: Department of Mathematics, University of California at San Diego, La Jolla, California 92093-0112
- Email: teichner@math.ucsd.edu
- Received by editor(s): July 5, 2001
- Published electronically: February 11, 2003
- Additional Notes: This research was supported by the NSF, grant DMS0072775
- Communicated by: Lance W. Small
- © Copyright 2003 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 131 (2003), 1977-1980
- MSC (2000): Primary 16S10
- DOI: https://doi.org/10.1090/S0002-9939-03-06975-2
- MathSciNet review: 1963739