Uniform annihilation of local cohomology and of Koszul homology
Uniform annihilation of local cohomology and of Koszul homology
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局部上同调和 Koszul 同调的一致湮没
DOI：
10.1017/s0305004100071164
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发表时间：
1992
影响因子：
0.8
通讯作者：
K. Raghavan
中科院分区：
文献类型：
--
作者：
K. Raghavan
设R是一个环（这里考虑的所有环都是恒等交换和诺瑟交换的），M是一个有限生成的R模，I是R的理想。在I中有支持的M的第j个局部上同调模定义为：作为这一结论的一个推论，我们推广了Hochster和Huneke关于Koszul同调一致湮灭的定理。
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 by In 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.