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Acyclicity Versus Total Acyclicity for Complexes over Noetherian Rings
| Content Provider | Semantic Scholar |
|---|---|
| Author | Srikanth B. Iyengar Krause, Henning |
| Copyright Year | 2005 |
| Abstract | It is proved that for a commutative noetherian ring with dualizing complex the homotopy category of projective modules is equivalent, as a triangulated category, to the homotopy category of injective modules. Restricted to compact objects, this statement is a reinterpretation of Grothendieck's duality theorem. Using this equiva- lence it is proved that the (Verdier) quotient of the category of acyclic complexes of projectives by its subcategory of totally acyclic com- plexes and the corresponding category consisting of injective modules are equivalent. A new characterization is provided for complexes in Auslander categories and in Bass categories of such rings. |
| Starting Page | 207 |
| Ending Page | 240 |
| Page Count | 34 |
| File Format | PDF HTM / HTML |
| Volume Number | 11 |
| Alternate Webpage(s) | http://emis.maths.adelaide.edu.au/journals/DMJDMV/vol-11/08.pdf |
| Alternate Webpage(s) | http://arxiv.org/pdf/math/0506265v1.pdf |
| Alternate Webpage(s) | http://www.mathematik.uni-bielefeld.de/documenta/vol-11/08.pdf |
| Alternate Webpage(s) | http://arxiv.org/pdf/math/0506265v2.pdf |
| Alternate Webpage(s) | http://www.emis.de/journals/DMJDMV/vol-11/08.pdf |
| Alternate Webpage(s) | http://www.mathematik.uni-bielefeld.de/DMV-J/vol-11/08.pdf |
| Alternate Webpage(s) | https://www.math.uni-bielefeld.de/documenta/vol-11/08.pdf |
| Alternate Webpage(s) | http://www.maths.tcd.ie/EMIS/journals/DMJDMV/vol-11/08.pdf |
| Alternate Webpage(s) | http://www.math.uni-bielefeld.de/documenta/vol-11/08.pdf |
| Alternate Webpage(s) | https://arxiv.org/pdf/math/0506265v3.pdf |
| Alternate Webpage(s) | http://emis.maths.tcd.ie/EMIS/journals/DMJDMV/vol-11/08.pdf |
| Alternate Webpage(s) | http://www.math.uiuc.edu/documenta/vol-11/08.pdf |
| Alternate Webpage(s) | http://www.math.unl.edu/~siyengar2/Papers/Acyclic.pdf |
| Alternate Webpage(s) | http://www.maths.soton.ac.uk/EMIS/journals/DMJDMV/vol-11/08.pdf |
| Alternate Webpage(s) | http://directory.umm.ac.id/Journals/Journal_of_mathematics/OTHER/08_6.pdf |
| Alternate Webpage(s) | http://math.uiuc.edu/documenta/vol-11/08.pdf |
| Alternate Webpage(s) | http://www.univie.ac.at/EMIS/journals/DMJDMV/vol-11/08.pdf |
| Alternate Webpage(s) | http://www.mat.ub.edu/EMIS/journals/DMJDMV/vol-11/08.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
