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On a characterization of cofinite complexes. Addendum to “On a category of cofinite modules which is abelian”. (English) Zbl 1278.13016
The author proves Lemma 8 of his paper [Math. Z. 269, No. 1-2, 587–608 (2011; Zbl 1228.13020)] (stated their without proof) by giving “a characterization of cofinite complexes over complete regular rings in terms of hyperexts”.

13D45 Local cohomology and commutative rings
13D09 Derived categories and commutative rings
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)
Full Text: DOI
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[5] Kawasaki, K.-i.: On the finiteness of Bass numbers of local cohomology modules. Proc. Am. Math. Soc. 124, 3275-3279 (1996) · Zbl 0860.13011
[6] Kawasaki, K.-i.: On a category of cofinite modules which is Abelian. Math. Z. 269, 587-608 (2011) · Zbl 1228.13020
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[8] Yassemi, S, Cofinite modules, Commun. Algebra, 29, 2333-2340, (2001) · Zbl 1023.13013
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