Filter Regular Sequence and Generalized Local Cohomology with Respectto a Pair of Ideals

F. Dehghani-Zadeh

Abstract


Let (R,m) be a Noetherian local ring. Two notions of filter regular sequence and generalized local cohomology module with respectto a pair of ideals are introduced, and their properties are studied. Somevanishing and non-vanishing theorems are given for this generalized versionof generalized local cohomology module.


Keywords


Generalized local cohomology, filter regular

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