Vanishing of the Bass and Betti numbers of Local cohomology modules

Let R be a commutative Noetherian ring and let I J be ideals of R such that cd(J;R) = ۱, it is shown that for every R-module M and each prime ideal p ۲ V (J) we have j(p;HiI (M)) = ۰ and j(p;Hi I (M)) = ۰, for all i ⩾ ۲ and j ⩾ ۰.

کلیدواژه ها:

Cohomological dimension ، Local cohomology ، Noetherian ring ، Bass and Betti numbers.