Local cohomology based on a nonclosed support defined by a pair of ideals

Ryo Takahashi, Yuji Yoshino, Takeshi Yoshizawa

Research output: Contribution to journalArticle

43 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)582-600
Number of pages19
JournalJournal of Pure and Applied Algebra
Issue number4
Publication statusPublished - Apr 1 2009


ASJC Scopus subject areas

  • Algebra and Number Theory

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