Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

A duality theorem for generalized local cohomology
HTML articles powered by AMS MathViewer

by Marc Chardin and Kamran Divaani-Aazar PDF
Proc. Amer. Math. Soc. 136 (2008), 2749-2754 Request permission

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
  • N. Bourbaki, Algèbre, Chapitre X, Herman, Paris, 1980.
  • M. Chardin, S. D. Cutkosky, J. Herzog and H. Srinivasan, Duality and Tameness, arXiv:0704.0102v1 (to appear in Michigan Math. J.).
  • M. Chardin and K. Divaani-Aazar, Generalized local cohomology and regularity of Ext modules, arXiv:math/0701509 (to appear in J. Algebra).
  • J. Herzog, Komplex Auflösungen und Dualität in der lokalen algebra, preprint, Universitüt Regensburg, 1974.
  • J. Herzog and A. Rahimi, Local Duality for Bigraded Modules, math.AC/0604587.
  • Naoyoshi Suzuki, On the generalized local cohomology and its duality, J. Math. Kyoto Univ. 18 (1978), no. 1, 71–85. MR 490835, DOI 10.1215/kjm/1250522630
Similar Articles
Additional Information
  • Marc Chardin
  • Affiliation: C.N.R.S., Institut de Mathématiques de Jussieu, 175 rue du Chevaleret, F-75013, Paris, France
  • MR Author ID: 259215
  • Email: chardin@math.jussieu.fr
  • Kamran Divaani-Aazar
  • Affiliation: Department of Mathematics, Az-Zahra University, Vanak, Post Code 19834, Tehran, Iran
  • Email: kdivaani@ipm.ir
  • 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
  • © Copyright 2008 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 136 (2008), 2749-2754
  • MSC (2000): Primary 13D45, 14B15, 13D07, 13C14
  • DOI: https://doi.org/10.1090/S0002-9939-08-09400-8
  • MathSciNet review: 2399038