caa a22 4500 445836911 CHVBK 20180317145332.0 cr unu---uuuuu 170323e20111001xx s 000 0 eng 10.1007/s00209-010-0751-0 doi (NATIONALLICENCE)springer-10.1007/s00209-010-0751-0 Kawasaki Ken-ichiroh Department of Mathematics, Nara University of Education, 630-8528, Takabatake-cho, Nara, Japan aut On a category of cofinite modules which is Abelian [Elektronische Daten] [Ken-ichiroh Kawasaki] Let A be a noetherian local ring, and I an ideal of A of dimension one. Our purpose of this paper is to prove that the category $${\mathcal{M} (A, I)_{cof}}$$ of cofinite modules is Abelian. Consequently, this assertion answers affirmatively the questions given by Hartshorne (Invent Math 9:147, 1970; cf. Sect. 2. Four Questions and One theorem) for an ideal of dimension one over a local ring. Springer-Verlag, 2010 Local cohomology nationallicence Cofinite complex nationallicence Abelian category nationallicence Derived category nationallicence Mathematische Zeitschrift Springer-Verlag 269/1-2(2011-10-01), 587-608 0025-5874 269:1-2<587 2011 269 209 https://doi.org/10.1007/s00209-010-0751-0 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00209-010-0751-0 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Kawasaki Ken-ichiroh Department of Mathematics, Nara University of Education, 630-8528, Takabatake-cho, Nara, Japan aut NATIONALLICENCE 773 0- Mathematische Zeitschrift Springer-Verlag 269/1-2(2011-10-01), 587-608 0025-5874 269:1-2<587 2011 269 209 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer