On residually $S_2$ ideals and projective dimension one modules
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- by Alberto Corso and Claudia Polini PDF
- Proc. Amer. Math. Soc. 129 (2001), 1309-1315 Request permission
Abstract:
We prove that certain modules are faithful. This enables us to draw consequences about the reduction number and the integral closure of some classes of ideals.References
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Additional Information
- Alberto Corso
- Affiliation: Department of Mathematics, Michigan State University, East Lansing, Michigan 48824
- Address at time of publication: Department of Mathematics, University of Kentucky, Lexington, Kentucky 40506
- MR Author ID: 348795
- Email: corso@math.msu.edu, corso@ms.uky.edu
- Claudia Polini
- Affiliation: Department of Mathematics, Hope College, Holland, Michigan 49422
- Address at time of publication: Department of Mathematics, University of Oregon, Eugene, Oregon 97403
- MR Author ID: 340709
- Email: polini@cs.hope.edu, polini@math.uoregon.edu
- Received by editor(s): May 18, 1999
- Received by editor(s) in revised form: August 29, 1999
- Published electronically: October 25, 2000
- Additional Notes: Both authors sincerely thank Bernd Ulrich for many helpful discussions they had concerning the material in this paper. The NSF, under grant DMS-9970344, has also partially supported the research of the second author and has therefore her heartfelt thanks.
- Communicated by: Wolmer V. Vasconcelos
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 129 (2001), 1309-1315
- MSC (2000): Primary 13A30; Secondary 13B22, 13C10, 13C40
- DOI: https://doi.org/10.1090/S0002-9939-00-05696-3
- MathSciNet review: 1814157