Abstract
We introduce a notion of generalized local cohomology modules with respect to a pair of ideals (I, J) which is a generalization of the concept of local cohomology modules with respect to (I, J). We show that generalized local cohomology modules [Formula: see text] can be computed by the Čech cohomology modules. We also study the artinianness of generalized local cohomology modules [Formula: see text].
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