Uniform annihilation of local cohomology and of Koszul homology
1992 ◽
Vol 112
(3)
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pp. 487-494
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Keyword(s):
Let R be a ring (all rings considered here are commutative with identity and Noetherian), M a finitely generated R-module, and I an ideal of R. The jth local cohomology module of M with support in I is defined byIn this paper, we prove a uniform version of a theorem of Brodmann about annihilation of local cohomology modules. As a corollary of this, we deduce a generalization of a theorem of Hochster and Huneke about uniform annihilation of Koszul homology.
2007 ◽
Vol 83
(2)
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pp. 217-226
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2020 ◽
Vol 23
(1)
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pp. 479-483
2018 ◽
Vol 17
(02)
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pp. 1850020
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2019 ◽
Vol 18
(02)
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pp. 1950026
2009 ◽
Vol 79
(1)
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pp. 59-67
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2007 ◽
Vol 50
(4)
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pp. 598-602
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