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ON THE VANISHING OF LOCAL HOMOLOGY MODULES

Published online by Cambridge University Press:  25 February 2013

MARZIYEH HATAMKHANI  and
KAMRAN DIVAANI-AAZAR
MARZIYEH HATAMKHANI
Affiliation:
Department of Mathematics, Az-Zahra University, Vanak, Post Code 19834, Tehran, Iran e-mail: hatamkhanim@yahoo.com
KAMRAN DIVAANI-AAZAR
Affiliation:
Department of Mathematics, Az-Zahra University, Vanak, Post Code 19834, Tehran, Iran, and School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5746, Tehran, Iran e-mail: kdivaani@ipm.ir
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Abstract

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Let R be a commutative Noetherian ring, is an ideal of R and M is an R-module. We intend to establish the dual of Grothendieck's Vanishing Theorem for local homology modules. We conjecture that =0 for all i>magRM. We prove this in several cases.

Keywords

13D0713D45
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 55 , Issue 2 , May 2013 , pp. 457 - 464
Copyright
Copyright © Glasgow Mathematical Journal Trust 2013

References

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