Tight closure commutes with localization in binomial rings
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- by Karen E. Smith
- Proc. Amer. Math. Soc. 129 (2001), 667-669
- DOI: https://doi.org/10.1090/S0002-9939-00-05626-4
- Published electronically: September 19, 2000
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Abstract:
It is proved that tight closure commutes with localization in any domain which has a module finite extension in which tight closure is known to commute with localization. It follows that tight closure commutes with localization in binomial rings, in particular in semigroup or toric rings.References
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Bibliographic Information
- Karen E. Smith
- Affiliation: Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109
- MR Author ID: 343614
- Email: kesmith@math.lsa.umich.edu
- Received by editor(s): January 11, 1999
- Received by editor(s) in revised form: May 15, 1999
- Published electronically: September 19, 2000
- Additional Notes: The author was supported by the National Science Foundation and the Alfred P. Sloan Foundation.
- Communicated by: Wolmer V. Vasconcelos
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 129 (2001), 667-669
- MSC (1991): Primary 13A35
- DOI: https://doi.org/10.1090/S0002-9939-00-05626-4
- MathSciNet review: 1706969