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1. CMB 2011 (vol 55 pp. 81)
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Cofiniteness of Generalized Local Cohomology Modules for One-Dimensional Ideals Let $\mathfrak a$ be an ideal of a commutative Noetherian
ring $R$ and $M$ and $N$ two finitely generated $R$-modules. Our
main result asserts that if $\dim R/\mathfrak a\leq 1$, then all generalized
local cohomology modules $H^i_{\mathfrak a}(M,N)$ are $\mathfrak a$-cofinite.
Keywords:cofinite modules, generalized local cohomology modules, local cohomology modules Categories:13D45, 13E05, 13E10 |