Two counterexamples in normalization
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- by Shreeram S. Abhyankar and Ben Kravitz PDF
- Proc. Amer. Math. Soc. 135 (2007), 3521-3523 Request permission
Abstract:
In this paper, we offer a correction to Commutative Algebra by Oscar Zariski and Pierre Samuel by noting two erroneous theorems and offering counterexamples for each.References
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- O. Zariski and P. Samuel, Commutative Algebra, Volume I, Springer-Verlag, New York, 1960.
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Additional Information
- Shreeram S. Abhyankar
- Affiliation: Department of Mathematics, Purdue University, West Lafayette, Indiana 47907
- Email: ram@cs.purdue.edu
- Ben Kravitz
- Affiliation: Department of Mathematics, Purdue University, West Lafayette, Indiana 47907
- Email: bkravitz@math.purdue.edu
- Received by editor(s): August 28, 2006
- Published electronically: July 27, 2007
- Additional Notes: The first author’s work was partly supported by NSF Grant DMS 99-88166 and NSA Grant MSP H98230-05-1-0040.
- Communicated by: Bernd Ulrich
- © Copyright 2007 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 135 (2007), 3521-3523
- MSC (2000): Primary 14A05
- DOI: https://doi.org/10.1090/S0002-9939-07-09010-7
- MathSciNet review: 2336566