Kawasaki, Ken-Ichiroh Cofiniteness of local cohomology modules for principal ideals. (English) Zbl 0930.13013 Bull. Lond. Math. Soc. 30, No. 3, 241-246 (1998). In this note we show that, if an ideal \(I\) of a Noetherian ring is principal, up to radical, then the local cohomology modules with support in \(V(I)\) are \(I\)-cofinite. Reviewer: K.-I.Kawasaki (Tokyo) Cited in 30 Documents MSC: 13D45 Local cohomology and commutative rings 14B15 Local cohomology and algebraic geometry 13D03 (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) 18G15 Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) Keywords:Ext; local cohomology modules PDF BibTeX XML Cite \textit{K.-I. Kawasaki}, Bull. Lond. Math. Soc. 30, No. 3, 241--246 (1998; Zbl 0930.13013) Full Text: DOI OpenURL