On Gorenstein injectivity of top local cohomology modules
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Abstract:
R. Sazeedeh showed that top local cohomology modules are Gorenstein injective in a Gorenstein local ring with at most two dimensions. In this paper, it is proved that the condition of dimension in his result cannot be relaxed and the conclusion in his result holds for complete local hypersurface rings with any dimension.References
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Additional Information
- Takeshi Yoshizawa
- Affiliation: Graduate School of Natural Science and Technology, Okayama University, Okayama 700-8530, Japan
- Email: tyoshiza@math.okayama-u.ac.jp
- Received by editor(s): January 4, 2010
- Received by editor(s) in revised form: October 11, 2010, and February 5, 2011
- Published electronically: October 3, 2011
- Communicated by: Bernd Ulrich
- © Copyright 2011
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 140 (2012), 1897-1907
- MSC (2010): Primary 13D05, 13D45
- DOI: https://doi.org/10.1090/S0002-9939-2011-11059-1
- MathSciNet review: 2888177