Titlebook: Completion, Čech and Local Homology and Cohomology; Interactions Between Peter Schenzel,Anne-Marie Simon Book 2018 Springer Nature Switzerl

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Local Duality with Dualizing Complexes and Other Dualitiesving both local homology and local cohomology, a recurrent theme in this monograph. We also investigate the local homology of a complex with Artinian homology, more generally with mini-max homology. We end the chapter with a short approach to Greenlees’ Warwick duality.

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Adic Topology and Completionhere are finer results when the ring is Noetherian, and it is helpful in Part II to see that some of these hold in greater generality and in a more general setting. In Sect. . we introduce a notion of relative flatness, which is helpful for the study of local homology. Section . contains some remark

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https://doi.org/10.1007/978-0-387-40045-7here are finer results when the ring is Noetherian, and it is helpful in Part II to see that some of these hold in greater generality and in a more general setting. In Sect. . we introduce a notion of relative flatness, which is helpful for the study of local homology. Section . contains some remark

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Traumatic Injuries to the Nails and Toeslasses . and . to unbounded complexes. Homologically complete and cohomologically torsion complexes are studied in Sect. 9.6. This is completed in Sect. 9.7 by studying the cosupport. In the final section there are change of rings theorems.

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1439-7382 with those between completion and torsion and leading to new aspects of various dualizing complexes..The Appendix covers various additional and complementary aspects of the previous investigations and also prov978-3-030-07207-0978-3-319-96517-8Series ISSN 1439-7382 Series E-ISSN 2196-9922