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

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1439-7382 utative rings.Studies the relation between Cech and local ho.The aim of the present monograph is a thorough study of the adic-completion, its left derived functors and their relations to the local cohomology functors, as well as several completeness criteria, related questions and various dualities
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Exercise-Induced Angioedema/Anaphylaxiscohomology and prove the Ext-depth Tor-codepth sensitivity of the Čech complex as well as some inequalities. One of the new features here is the general assumption of a finite set of elements in a commutative ring . and unbounded .-complexes ..
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https://doi.org/10.1007/978-0-387-40045-7 Noetherian, possibly new in the present generality. We also provide a description of . and . in terms of microscope and telescope. These descriptions do not refer to the resolutions of ., which could be an advantage.
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Local Cohomology and Local Homology Noetherian, possibly new in the present generality. We also provide a description of . and . in terms of microscope and telescope. These descriptions do not refer to the resolutions of ., which could be an advantage.
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Book 2018nctors, as well as several completeness criteria, related questions and various dualities formulas. A basic construction is the Čech complex with respect to a system of elements and its free resolution. The study of its homology and cohomology will play a crucial role in order to understand left der
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Exercise-Induced Angioedema/Anaphylaxiscroscope and telescope introduced by Greenlees and May in Greenlees, May (J Algebra, 149, 438–453, (1992), [3]). This is used in order to get certain resolutions of unbounded complexes, as suggested by Avramov and Foxby. We also discuss minimal injective resolutions for unbounded complexes.
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https://doi.org/10.1007/978-0-387-40045-7ven a dualizing complex of a Noetherian ring ., we provide an explicit construction of a dualizing complex for . involving the Čech complex built on a generating set of .. In the last section we provide some new properties of dualizing complexes related to the completion functor, a recurrent theme in this monograph.
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