Top local cohomology modules with respect to a pair of ideals
Author:
Lizhong Chu
Journal:
Proc. Amer. Math. Soc. 139 (2011), 777782
MSC (2010):
Primary 13D45
Published electronically:
October 28, 2010
MathSciNet review:
2745630
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Abstract: Let be a commutative Noetherian local ring, and let and be two proper ideals of . Let be a nonzero finitely generated module. We investigate the top local cohomology module . We get some results about attached prime ideals of the local cohomology module . As a consequence, we find that there exists a quotient of such that . Also, we give the generalized version of the LichtenbaumHartshorne Vanishing Theorem for local cohomology modules of a finitely generated module with respect to a pair of ideals.
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Additional Information
Lizhong Chu
Affiliation:
Department of Mathematics, Soochow University, 215006, Jiangsu, People’s Republic of China
Email:
Chulizhong@suda.edu.cn
DOI:
http://dx.doi.org/10.1090/S000299392010104719
Keywords:
Local cohomology modules,
vanishing,
Artinian modules.
Received by editor(s):
April 12, 2009
Received by editor(s) in revised form:
March 2, 2010
Published electronically:
October 28, 2010
Additional Notes:
This work was supported by NSF (10771152, 10926094) of China, by the NSF (09KJB110006) for Colleges and Universities in Jiangsu Province, by the Research Foundation (Q4107805) of Suzhou University and by the Research Foundation of Preresearch Project (Q3107852) of Suzhou University.
Communicated by:
Bernd Ulrich
Article copyright:
© Copyright 2010
American Mathematical Society
