cofiniteness of local cohomlogy based on a non–closed support defined by a pair of ideals
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Local Cohomology Based on a Nonclosed Support Defined by a Pair of Ideals
We introduce an idea for generalization of a local cohomology module, which we call a local cohomology module with respect to a pair of ideals (I, J), and study their various properties. Some vanishing and nonvanishing theorems are given for this generalized version of local cohomology. We also discuss its connection with the ordinary local cohomology.
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Serre Subcategories and Local Cohomology Modules with Respect to a Pair of Ideals
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Journal title:
bulletin of the iranian mathematical societyPublisher: iranian mathematical society (ims)
ISSN 1017-060X
volume 36
issue No. 2 2011
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