派博傳思國際中心

標題: Titlebook: Completion, ?ech and Local Homology and Cohomology; Interactions Between Peter Schenzel,Anne-Marie Simon Book 2018 Springer Nature Switzerl [打印本頁]

作者: 預兆前    時間: 2025-3-21 19:39
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作者: Inflated    時間: 2025-3-21 20:29
Adic Topology and Completionrature and complete the picture with some new observations. A few of these facts hold in full generality; but most of them require that the adic topology is taken with respect to a finitely generated ideal. The case when the ring is Noetherian is easier to handle, though far from being obvious when
作者: backdrop    時間: 2025-3-22 01:39

作者: sleep-spindles    時間: 2025-3-22 08:25
Homological Preliminariesexes. To this end some additional considerations for their resolutions are necessary, that is, we report and summarize part of the work of Avramov and Foxby resp. Spaltenstein (see Avramov, Foxby (J Pure Appl Algebra, 71, 129–155, (1991), [1]), Spaltenstein (Compos Math, 65, 121–154, (1988), [2])) n
作者: theta-waves    時間: 2025-3-22 12:44
Koszul Complexes, Depth and Codepth. He also proved (see Strooker (Homological questions in local algebra, Cambridge University Press, Cambridge, 1990)[1, 6.1.6, 6.1.7]) that these can be computed by the use of a Koszul complex when the ideal . is finitely generated.
作者: 外觀    時間: 2025-3-22 14:18

作者: 外觀    時間: 2025-3-22 17:41
Local Cohomology and Local Homologyule ., extends naturally to complexes. In this chapter we first recall that . and . are well defined in the derived category and fix some notations. Then we investigate when . and . vanish. For complexes homologically-bounded on the . we obtain more precise results, previously known when the ring is
作者: 咯咯笑    時間: 2025-3-23 00:22

作者: CBC471    時間: 2025-3-23 01:40

作者: 燈泡    時間: 2025-3-23 06:49
Dualizing Complexeser. Most of the results are not new, but some proofs are. In particular, we provide a proof of the existence of a dualizing complex for a complete Noetherian local ring independent of the Cohen structure theorem. This is part of an interesting interaction between the notion of a dualizing complex fo
作者: 浸軟    時間: 2025-3-23 10:44

作者: phytochemicals    時間: 2025-3-23 16:03
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
作者: Ordnance    時間: 2025-3-23 18:53
Exercise-Induced Angioedema/Anaphylaxiscohomology and prove the Ext-depth Tor-codepth sensitivity of the ?ech 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 ..
作者: fluffy    時間: 2025-3-24 01:57
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.
作者: Costume    時間: 2025-3-24 02:44

作者: 哎呦    時間: 2025-3-24 09:22
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.
作者: Archipelago    時間: 2025-3-24 14:35
Book 2018nctors, as well as several completeness criteria, related questions and various dualities formulas. A basic construction is the??ech 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
作者: BIAS    時間: 2025-3-24 18:44
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.
作者: 歸功于    時間: 2025-3-24 20:25

作者: enumaerate    時間: 2025-3-24 23:38
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 ?ech 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.
作者: Retrieval    時間: 2025-3-25 04:07

作者: blister    時間: 2025-3-25 09:10

作者: 新字    時間: 2025-3-25 13:52

作者: transdermal    時間: 2025-3-25 18:57

作者: enumaerate    時間: 2025-3-25 22:33
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.
作者: 難聽的聲音    時間: 2025-3-26 01:05
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
作者: FACT    時間: 2025-3-26 06:27

作者: 微枝末節(jié)    時間: 2025-3-26 12:28
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
作者: VEST    時間: 2025-3-26 13:04
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.
作者: conspicuous    時間: 2025-3-26 20:51
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
作者: 宣傳    時間: 2025-3-26 23:19

作者: blister    時間: 2025-3-27 04:25
,Correction to: Completion, ?ech and Local Homology and Cohomology,
作者: 國家明智    時間: 2025-3-27 07:34

作者: osculate    時間: 2025-3-27 10:40
Traumatic Injuries to the Nails and Toeso play, recalling some useful well-known facts. Then we present some basic facts on Matlis duality, and on inverse and direct limits. Most readers will not be tempted to look at this first chapter but may prefer to refer back to it for notations and definitions when needed.
作者: 變化    時間: 2025-3-27 17:13
https://doi.org/10.1007/978-0-387-40045-7rature and complete the picture with some new observations. A few of these facts hold in full generality; but most of them require that the adic topology is taken with respect to a finitely generated ideal. The case when the ring is Noetherian is easier to handle, though far from being obvious when
作者: 口音在加重    時間: 2025-3-27 20:06
Exercise-Induced Angioedema/Anaphylaxisif and only if . for all countably generated flat modules . if and only if . for all . and any flat module . (see Jensen in J. Algebra 15:151–166, 1970 [1] and Les foncteurs dérivés de lim et leurs applications en théorie des modules, Springer, Berlin, Heidelberg, New York [2] [Proposition 8.2]).
作者: Assignment    時間: 2025-3-27 23:24

作者: Obloquy    時間: 2025-3-28 06:09
Atypical Mycobacterial Skin Infections. He also proved (see Strooker (Homological questions in local algebra, Cambridge University Press, Cambridge, 1990)[1, 6.1.6, 6.1.7]) that these can be computed by the use of a Koszul complex when the ideal . is finitely generated.
作者: Nuance    時間: 2025-3-28 08:52
Exercise-Induced Angioedema/Anaphylaxisra the ?ech complex is known for its relation to local cohomology in the case when the underlying ring is Noetherian. Here we start with a general investigation of the construction of the ?ech complex with respect to a sequence of elements . of a commutative ring .. We investigate ?ech homology and
作者: 影響深遠    時間: 2025-3-28 13:25
https://doi.org/10.1007/978-0-387-40045-7ule ., extends naturally to complexes. In this chapter we first recall that . and . are well defined in the derived category and fix some notations. Then we investigate when . and . vanish. For complexes homologically-bounded on the . we obtain more precise results, previously known when the ring is
作者: 彩色    時間: 2025-3-28 16:31
Traumatic Injuries to the Nails and Toesperties of the completion and torsion functors. We start with the composites of the derived functors of the completion and the torsion. Their interplay with the Hom-functors and the tensor product is also considered. In the second section there are results about duality and adjointness linking local
作者: 過份好問    時間: 2025-3-28 20:32

作者: Morose    時間: 2025-3-29 01:17

作者: HAIRY    時間: 2025-3-29 06:28
Atypical Mycobacterial Skin Infections general result involving the local cohomology with respect to an arbitrary ideal of a Noetherian ring admitting a dualizing complex, originally proved by Hartshorne for a regular ring of finite Krull dimension. We also extend Hartshorne’s affine duality stated for regular rings of finite Krull dime
作者: transplantation    時間: 2025-3-29 10:11

作者: 法官    時間: 2025-3-29 15:15
Springer Monographs in Mathematicshttp://image.papertrans.cn/c/image/231333.jpg
作者: 騎師    時間: 2025-3-29 18:38
Atypical Mycobacterial Skin InfectionsIn his book Matsumura proved the following Theorem (see Matsumura, Commutative ring theory, Cambridge University Press, Cambridge, 320 p., 1986 [58, Theorem 8.12]).
作者: 異端邪說下    時間: 2025-3-29 23:19

作者: 營養(yǎng)    時間: 2025-3-30 02:43

作者: Decongestant    時間: 2025-3-30 04:30
978-3-030-07207-0Springer Nature Switzerland AG 2018
作者: 傳染    時間: 2025-3-30 09:45
Preliminaries and Auxiliary Resultso play, recalling some useful well-known facts. Then we present some basic facts on Matlis duality, and on inverse and direct limits. Most readers will not be tempted to look at this first chapter but may prefer to refer back to it for notations and definitions when needed.
作者: 來就得意    時間: 2025-3-30 12:24

作者: 認識    時間: 2025-3-30 18:19

作者: chassis    時間: 2025-3-30 22:43
Completion, ?ech and Local Homology and Cohomology978-3-319-96517-8Series ISSN 1439-7382 Series E-ISSN 2196-9922




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