TY - JOUR
T1 - Local cohomology based on a nonclosed support defined by a pair of ideals
AU - Takahashi, Ryo
AU - Yoshino, Yuji
AU - Yoshizawa, Takeshi
PY - 2009/4
Y1 - 2009/4
N2 - We introduce a generalization of the notion of local cohomology module, which we call a local cohomology module with respect to a pair of ideals (I, J), and study its various properties. Some vanishing and nonvanishing theorems are given for this generalized version of local cohomology. We also discuss its connection with ordinary local cohomology.
AB - We introduce a generalization of the notion of local cohomology module, which we call a local cohomology module with respect to a pair of ideals (I, J), and study its various properties. Some vanishing and nonvanishing theorems are given for this generalized version of local cohomology. We also discuss its connection with ordinary local cohomology.
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U2 - 10.1016/j.jpaa.2008.09.008
DO - 10.1016/j.jpaa.2008.09.008
M3 - Article
AN - SCOPUS:58149347562
SN - 0022-4049
VL - 213
SP - 582
EP - 600
JO - Journal of Pure and Applied Algebra
JF - Journal of Pure and Applied Algebra
IS - 4
ER -