Hostname: page-component-78c5997874-lj6df Total loading time: 0 Render date: 2024-11-19T14:49:00.121Z Has data issue: false hasContentIssue false
  • English
  • Français

Special tight closure

Published online by Cambridge University Press:  22 January 2016

Craig Huneke  and
Adela Vraciu
Craig Huneke
Affiliation:
Department of Mathematics, University of Kansas, Lawrence, KS 66045, U.S.A., [email protected]
Adela Vraciu
Affiliation:
Department of Mathematics, University of Kansas, Lawrence, KS 66045, U.S.A., [email protected]
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We study the notion of special tight closure of an ideal and show that it can be used as a tool for tight closure computations.

Keywords

13A35
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 170 , 2003 , pp. 175 - 183
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2003

References

[Ab] Aberbach, I., Extensions of weakly and strongly F-rational rings by flat maps, Algebra J., 241 (2001), 799–807.Google Scholar
[H] Hara, N., A characterization of graded rational singularities in terms of of Frobenius maps, Amer. J. Math., 120 (1998), 981–996.Google Scholar
[HH] Hochster, M. and Huneke, C., F–regularity, test elements, and smooth base change, Trans. Amer. Math. Soc., 346 (1994), 1–62.Google Scholar
[HS] Huneke, C. and Smith, K.E., Kodaira vanishing and tight closure, J. reine angew. Math., 484 (1997), 127–152.Google Scholar
[MS] Mehta, V. B. and Srinivas, V., A characterization of rational singularities, Asian J. Math., 1 (1997), 249–271.Google Scholar
[Sm] Smith, K. E., Tight closure in graded rings, J. Math. Kyoto Univ., 37 (1997), 35–53.Google Scholar
[Vr] Vraciu, A., ∗–Independence and special tight closure, Algebra J., 249 (2002), 544–565.CrossRefGoogle Scholar