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Relative Homological Algebra.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Jenda, Overtoun M. G.
Otros Autores: Enochs, Edgar E.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin : De Gruyter, 2000.
Colección:Gruyter Expositions in Mathematics.
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Jenda, Overtoun M. G. 
245 1 0 |a Relative Homological Algebra. 
260 |a Berlin :  |b De Gruyter,  |c 2000. 
300 |a 1 online resource (352 pages) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a De Gruyter Expositions in Mathematics ;  |v v. 30 
505 0 |a Preface; 1 Basic Concepts; 1.1 Zorn's lemma, ordinal and cardinal numbers; 1.2 Modules; 1.3 Categories and functors; 1.4 Complexes of modules and homology; 1.5 Direct and inverse limits; 1.6 I-adic topology and completions; 2 Flat Modules, Chain Conditions and Prime Ideals; 2.1 Flat modules; 2.2 Localization; 2.3 Chain conditions; 2.4 Prime ideals and primary decomposition; 2.5 Artin-Rees lemma and Zariski rings; 3 Injective and Flat Modules; 3.1 Injective modules; 3.2 Natural identities, flat modules, and injective modules; 3.3 Injective modules over commutative noetherian rings. 
505 8 |a 3.4 Matlis duality4 Torsion Free Covering Modules; 4.1 Existence of torsion free precovers; 4.2 Existence of torsion free covers; 4.3 Examples; 4.4 Direct sums and products; 5 Covers; 5.1 F-precovers and covers; 5.2 Existence of precovers and covers; 5.3 Projective and flat covers; 5.4 Injective covers; 5.5 Direct sums and T-nilpotency; 6 Envelopes; 6.1 F-preenvelopes and envelopes; 6.2 Existence of preenvelopes; 6.3 Existence of envelopes; 6.4 Direct sums of envelopes; 6.5 Flat envelopes; 6.6 Existence of envelopes for injective structures; 6.7 Pure injective envelopes. 
505 8 |a 7 Covers, Envelopes, and Cotorsion Theories7.1 Definitions and basic results; 7.2 Fibrations, cofibrations and Wakamatsu lemmas; 7.3 Set theoretic homological algebra; 7.4 Cotorsion theories with enough injectives and projectives; 8 Relative Homological Algebra and Balance; 8.1 Left and right F-resolutions; 8.2 Derived functors and balance; 8.3 Applications to modules; 8.4 F-dimensions; 8.5 Minimal pure injective resolutions of flat modules; 8.6? and æ-dimensions; 9 Iwanaga-Gorenstein and Cohen-Macaulay Rings and Their Modules; 9.1 Iwanaga-Gorenstein rings. 
505 8 |a 9.2 The minimal injective resolution of R9.3 More on flat and injective modules; 9.4 Torsion products of injective modules; 9.5 Local cohomology and the dualizing module; 10 Gorenstein Modules; 10.1 Gorenstein injective modules; 10.2 Gorenstein projective modules; 10.3 Gorenstein flat modules; 10.4 Foxby classes; 11 Gorenstein Covers and Envelopes; 11.1 Gorenstein injective precovers and covers; 11.2 Gorenstein injective preenvelopes; 11.3 Gorenstein injective envelopes; 11.4 Gorenstein essential extensions; 11.5 Gorenstein projective precovers and covers. 
505 8 |a 11.6 Auslander's last theorem (Gorenstein projective covers)11.7 Gorenstein flat covers; 11.8 Gorenstein flat and projective preenvelopes; 12 Balance over Gorenstein and Cohen-Macaulay Rings; 12.1 Balance of Hom( -, -- ); 12.2 Balance of -? -; 12.3 Dimensions over n-Gorenstein rings; 12.4 Dimensions over Cohen-Macaulay rings; 12.5 O-Gorenstein modules; Bibliographical Notes; Bibliography; Index. 
588 0 |a Print version record. 
504 |a Includes bibliographical references (pages 321-330) and index. 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 0 |a Algebra, Homological. 
650 6 |a Algèbre homologique. 
650 7 |a Algebra, Homological  |2 fast 
700 1 |a Enochs, Edgar E. 
758 |i has work:  |a Relative homological algebra (Text)  |1 https://id.oclc.org/worldcat/entity/E39PCFyMVRYjTVPvMHg6C6WfVP  |4 https://id.oclc.org/worldcat/ontology/hasWork 
776 0 8 |i Print version:  |a Jenda, Overtoun M.G.  |t Relative Homological Algebra.  |d Berlin : De Gruyter, ©2000  |z 9783110166330 
830 0 |a Gruyter Expositions in Mathematics. 
856 4 0 |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=913184  |z Texto completo 
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