(I; J)-COHOMOLOGICAL DIMENSION FILTRATION

Let I and J be two ideals of a commutative Noetherian ring R and M be an R-module of dimension d.For each i ۲ N۰ let HiI;J (􀀀) denote the i-th right derived functor of 􀀀I;J (􀀀), where 􀀀I;J (M) := fx ۲M : Inx Jx for n ≫ ۱g. If R is a complete local ring and M is finite, then attached prime ideals ofHd􀀀۱I;J (M) are computed by means of the concept of co-localization. Also, we illustrate the attached primeideals of HtI;J (M) on a non-local ring R, for t = dimM and t = cd(I; J;M), where cd(I; J;M) is the lastnon-vanishing level of HiI;J (M).