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ISBN: 9780387948232
We have inserted, in this edition, an extra chapter (Chapter X) entitled "Some Applications and Recent Developments." The first section of this chapter describes how homological algebra a… Mehr…
ISBN: 9780387948232
*A Course in Homological Algebra* - 2nd ed. 1997 / gebundene Ausgabe für 106.99 € / Aus dem Bereich: Bücher, Wissenschaft, Mathematik Medien > Bücher nein Buch (gebunden) Hardcover;Naturw… Mehr…
1997
ISBN: 0387948236
[EAN: 9780387948232], Gebraucht, [PU: Springer], Acceptable/Fair condition. Book is worn, but the pages are complete, and the text is legible. Has wear to binding and pages, may be ex-lib… Mehr…
1997, ISBN: 0387948236
[EAN: 9780387948232], Gebraucht, sehr guter Zustand, [PU: Springer], Very Good Copy, Books
1997, ISBN: 0387948236
[EAN: 9780387948232], Neubuch, [PU: Springer], Books
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Detailangaben zum Buch - A Course in Homological Algebra
EAN (ISBN-13): 9780387948232
ISBN (ISBN-10): 0387948236
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 1997
Herausgeber: Springer New York
384 Seiten
Gewicht: 0,736 kg
Sprache: eng/Englisch
Buch in der Datenbank seit 2007-04-18T09:05:07+02:00 (Berlin)
Detailseite zuletzt geändert am 2023-09-24T12:44:35+02:00 (Berlin)
ISBN/EAN: 0387948236
ISBN - alternative Schreibweisen:
0-387-94823-6, 978-0-387-94823-2
Alternative Schreibweisen und verwandte Suchbegriffe:
Autor des Buches: urs stammbach, peter hilton, peter stamm, may peter, peter field, springer peter, geoghegan
Titel des Buches: homological algebra, course algebra, homolog, homolo, the graduate, stammbach, graduate text mathematics
Daten vom Verlag:
Autor/in: Peter J. Hilton; Urs Stammbach
Titel: Graduate Texts in Mathematics; A Course in Homological Algebra
Verlag: Springer; Springer US
366 Seiten
Erscheinungsjahr: 1997-01-17
New York; NY; US
Sprache: Englisch
106,99 € (DE)
109,99 € (AT)
118,00 CHF (CH)
Available
XII, 366 p.
BB; Hardcover, Softcover / Mathematik/Arithmetik, Algebra; Algebra; Verstehen; Abelian group; Adjoint functor; Cohomology; Coproduct; Group theory; Homological algebra; Representation theory; Vector space; algebra; Algebra; K-Theory; Algebraische Topologie; BC
I. Modules.- 1. Modules.- 2. The Group of Homomorphisms.- 3. Sums and Products.- 4. Free and Projective Modules.- 5. Projective Modules over a Principal Ideal Domain.- 6. Dualization, Injective Modules.- 7 Injective Modules over a Principal Ideal Domain.- 8. Cofree Modules.- 9. Essential Extensions.- II. Categories and Functors.- 1. Categories.- 2. Functors.- 3. Duality.- 4. Natural Transformations.- 5. Products and Coproducts; Universal Constructions.- 6. Universal Constructions (Continued); Pull-backs and Push-outs.- 7. Adjoint Functors.- 8. Adjoint Functors and Universal Constructions.- 9. Abelian Categories.- 10. Projective, Injective, and Free Objects.- III. Extensions of Modules.- 1. Extensions.- 2. The Functor Ext.- 3. Ext Using Injectives.- 4. Computation of some Ext-Groups.- 5. Two Exact Sequences.- 6. A Theorem of Stein-Serre for Abelian Groups.- 7. The Tensor Product.- 8. The Functor Tor.- IV. Derived Functors.- 1. Complexes.- 2. The Long Exact (Co) Homology Sequence.- 3. Homotopy.- 4. Resolutions.- 5. Derived Functors.- 6. The Two Long Exact Sequences of Derived Functors.- 7. The Functors Extn? Using Projectives.- 8. The Functors % MathType!MTEF!2!1!+- % feaagaart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXafv3ySLgzGmvETj2BSbWexLMBb50ujbqegm0B % 1jxALjharqqr1ngBPrgifHhDYfgasaacH8srps0lbbf9q8WrFfeuY- % Hhbbf9v8qqaqFr0xc9pk0xbba9q8WqFfea0-yr0RYxir-Jbba9q8aq % 0-yq-He9q8qqQ8frFve9Fve9Ff0dmeaabaqaciGacaGaaeqabaWaae % aaeaaakeaadaqdaaqaaGqaaiaa-veacaWF4bGaa8hDaaaadaqhaaWc % baacciGae43MdWeabaGaamOBaaaaaaa!40A3! $$ \\overline {Ext} _\\Lambda ^n $$ Using Injectives.- 9. Extn and n-Extensions.- 10. Another Characterization of Derived Functors.- 11. The Functor Torn?.- 12. Change of Rings.- V. The Kiinneth Formula.- 1. Double Complexes.- 2. TheKünneth Theorem.- 3. The Dual Künneth Theorem.- 4. Applications of the Künneth Formulas.- VI. Cohomology of Groups.- 1. The Group Ring.- 2. Definition of (Co) Homology.- 3. H0, H0.- 4. H1, H1 with Trivial Coefficient Modules.- 5. The Augmentation Ideal, Derivations, and the Semi-Direct Product.- 6. A Short Exact Sequence.- 7. The (Co) Homology of Finite Cyclic Groups.- 8. The 5-Term Exact Sequences.- 9. H2, Hopf’s Formula, and the Lower Central Series.- 10. H2 and Extensions.- 11. Relative Projectives and Relative Injectives.- 12. Reduction Theorems.- 13. Resolutions.- 14. The (Co) Homology of a Coproduct.- 15. The Universal Coefficient Theorem and the (Co)Homology of a Product.- 16. Groups and Subgroups.- VII. Cohomology of Lie Algebras.- 1. Lie Algebras and their Universal Enveloping Algebra.- 2. Definition of Cohomology; H0, H1.- 3. H2 and Extensions.- 4. A Resolution of the Ground Field K.- 5. Semi-simple Lie Algebras.- 6. The two Whitehead Lemmas.- 7. Appendix : Hubert’s Chain-of-Syzygies Theorem.- VIII. Exact Couples and Spectral Sequences.- 1. Exact Couples and Spectral Sequences.- 2. Filtered Differential Objects.- 3. Finite Convergence Conditions for Filtered Chain Complexes.- 4. The Ladder of an Exact Couple.- 5. Limits.- 6. Rees Systems and Filtered Complexes.- 7. The Limit of a Rees System.- 8. Completions of Filtrations.- 9. The Grothendieck Spectral Sequence.- IX. Satellites and Homology.- 1. Projective Classes of Epimorphisms.- 2. ?-Derived Functors.- 3. ?-Satellites.- 4. The Adjoint Theorem and Examples.- 5. Kan Extensions and Homology.- 6. Applications: Homology of Small Categories, Spectral Sequences.- X. Some Applications and Recent Developments.- 1. Homological Algebra and Algebraic Topology.- 2. Nilpotent Groups.- 3. FinitenessConditions on Groups.- 4. Modular Representation Theory.- 5. Stable and Derived Categories.Weitere, andere Bücher, die diesem Buch sehr ähnlich sein könnten:
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