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

 

Faltings' theorem for the annihilation of local cohomology modules over a Gorenstein ring


Authors: K. Khashyarmanesh and Sh. Salarian
Journal: Proc. Amer. Math. Soc. 132 (2004), 2215-2220
MSC (2000): Primary 13D45, 13E05, 13H10, 13D05, 13C15
Published electronically: March 10, 2004
MathSciNet review: 2052396
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Abstract: In this paper we study the Annihilator Theorem and the Local-global Principle for the annihilation of local cohomology modules over a (not necessarily finite-dimensional) Noetherian Gorenstein ring.


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Additional Information

K. Khashyarmanesh
Affiliation: Institute for Studies in Theoretical Physics and Mathematics, P.O. Box 19395-5746, Tehran, Iran – and – Department of Mathematics, Damghan University, P.O. Box 36715-364, Damghan, Iran
Email: Khashyar@ipm.ir

Sh. Salarian
Affiliation: Institute for Studies in Theoretical Physics and Mathematics, P.O. Box 19395-5746, Tehran, Iran – and – Department of Mathematics, Damghan University, P.O. Box 36715-364, Damghan, Iran
Email: Salarian@ipm.ir

DOI: http://dx.doi.org/10.1090/S0002-9939-04-07322-8
PII: S 0002-9939(04)07322-8
Keywords: Local cohomology modules, Gorenstein rings, annihilator theorem
Received by editor(s): June 5, 2002
Received by editor(s) in revised form: March 5, 2003
Published electronically: March 10, 2004
Additional Notes: This research was in part supported by a grant from IPM (No. 81130021 and No. 81130117).
Communicated by: Bernd Ulrich
Article copyright: © Copyright 2004 American Mathematical Society