Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



A duality theorem for generalized local cohomology

Authors: Marc Chardin and Kamran Divaani-Aazar
Journal: Proc. Amer. Math. Soc. 136 (2008), 2749-2754
MSC (2000): Primary 13D45, 14B15, 13D07, 13C14
Published electronically: February 28, 2008
MathSciNet review: 2399038
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We prove a duality theorem for graded algebras over a field that implies several known duality results: graded local duality, versions of Serre duality for local cohomology and of Suzuki duality for generalized local cohomology, and Herzog-Rahimi bigraded duality.

References [Enhancements On Off] (What's this?)

  • [B] N. Bourbaki, Algèbre, Chapitre X, Herman, Paris, 1980.
  • [CCHS] M. Chardin, S. D. Cutkosky, J. Herzog and H. Srinivasan, Duality and Tameness, arXiv:0704.0102v1 (to appear in Michigan Math. J.).
  • [CD] M. Chardin and K. Divaani-Aazar, Generalized local cohomology and regularity of Ext modules, arXiv:math/0701509 (to appear in J. Algebra).
  • [H] J. Herzog, Komplex Auflösungen und Dualität in der lokalen algebra, preprint, Universitüt Regensburg, 1974.
  • [HR] J. Herzog and A. Rahimi, Local Duality for Bigraded Modules, math.AC/0604587.
  • [S] Naoyoshi Suzuki, On the generalized local cohomology and its duality, J. Math. Kyoto Univ. 18 (1978), no. 1, 71–85. MR 490835

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 13D45, 14B15, 13D07, 13C14

Retrieve articles in all journals with MSC (2000): 13D45, 14B15, 13D07, 13C14

Additional Information

Marc Chardin
Affiliation: C.N.R.S., Institut de Mathématiques de Jussieu, 175 rue du Chevaleret, F-75013, Paris, France

Kamran Divaani-Aazar
Affiliation: Department of Mathematics, Az-Zahra University, Vanak, Post Code 19834, Tehran, Iran

Keywords: Generalized local cohomology, duality.
Received by editor(s): May 21, 2007
Received by editor(s) in revised form: September 13, 2007
Published electronically: February 28, 2008
Communicated by: Bernd Ulrich
Article copyright: © Copyright 2008 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.