“School of Mathematics”Back to Papers Home
Back to Papers of School of Mathematics
|Paper IPM / M / 8785||
Let R be a commutative Noetherian ring, \fraka an ideal of
R, and M, N two finitely generated R-modules. We prove
that the generalized local cohomology modules Ht\fraka(M,N) are \fraka-cofinite; that is, ExtiR(R/\fraka,Ht\fraka(M, N) is finitely generated for all i, t ≥ 0, in the following
(i) cd(\fraka) = 1, where cd is the cohomological dimension of \fraka in R.
(ii) dimR ≤ 2.
Download TeX format
|back to top|