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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On Gorenstein injectivity of top local cohomology modules


Author: Takeshi Yoshizawa
Journal: Proc. Amer. Math. Soc. 140 (2012), 1897-1907
MSC (2010): Primary 13D05, 13D45
Published electronically: October 3, 2011
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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.


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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

DOI: http://dx.doi.org/10.1090/S0002-9939-2011-11059-1
PII: S 0002-9939(2011)11059-1
Keywords: Local cohomology, Gorenstein injective module
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
Article copyright: © Copyright 2011 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.