An introduction to homological algebra. ([1979])

• Record Type: Book
• Further Information: Note: Joseph J. Rotman.
• Other Names: Rotman, Joseph J, 1934-
• Contents: Preface; ; ; Contents; ; ; 1. Introduction; ; ; Line Integrals and Independence of Path; ; ; Categories and Functors; ; ; Tensor Products; ; ; Singular Homology; ; ; 2. Hom and Ⓧ; ; ; Modules; ; ; Sums and Products; ; ; Exactness; ; ; Adjoints; ; ; Direct Limits; ; ; Inverse Limits; ; ; 3. Projectives, Injectives, and Flats; ; ; Free Modules; ; ; Projective Modules; ; ; Injective Modules; ; ; Watts’ Theorems; ; ; Flat Modules; ; ; Purity; ; ; Localization; ; ; 4. Specific Rings; ; ; Noetherian Rings; ; ; Semisimple Rings; ; ; Von Neumann Regular Rings; ; ; Hereditary and Dedekind Rings; ; ; Semihereditary and Prüfer Rings; ; ; Quasi-Frobenius Rings; ; ; Local Rings and Artinian Rings; ; ; Polynomial Rings; ; ; 5. Extensions of Groups; ; ; 6. Homology; ; ; Homology Functors; ; ; Derived Functors; ; ; 7. Ext; ; ; Elementary Properties; ; ; Ext and Extensions; ; ; Axioms; ; ; 8. Tor; ; ; Elementary Properties; ; ; Tor and Torsion; ; ; Universal Coefficient Theorems; ; ; 9. Son of Specific Rings; ; ; Dimensions; ; ; Hilbert's Syzygy Theorem; ; ; Serre's Theorem; ; ; Mixed Identities; ; ; Commutative Noetherian Local Rings; ; ; 10. The Return of Cohomology of Groups; ; ; Homology Groups; ; ; Cohomology Groups; ; ; Computations and Applications; ; ; 11. Spectral Sequences; ; ; Exact Couples and Five-Term Sequences; ; ; Derived Couples and Spectral Sequences; ; ; Filtrations and Convergence; ; ; Bicomplexes; ; ; Künneth Theorems; ; ; Grothendieck Spectral Sequences; ; ; More Groups; ; ; More Modules; ; ; References; ; ; Index; ; ; ;
• Publisher Details: New York : Academic Press
• Publication Date: 1979
• Extent: 1 online resource, illustrations
• Subjects: 512.55; Algebra, Homological
• Languages: English
• ISBNs: 9780080874012; 0080874010
• Related ISBNs: 0125992505
• Notes: Note: Includes bibliographical references and index.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.