Local Cohomology Based on a Nonclosed Support Defined by a Pair of Ideals

نویسندگان

  • RYO TAKAHASHI
  • YUJI YOSHINO
  • TAKESHI YOSHIZAWA
چکیده

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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تاریخ انتشار 2008