Matches in Harvard for { <http://id.lib.harvard.edu/aleph/008384123/catalog> ?p ?o. }
Showing items 1 to 20 of
20
with 100 items per page.
- catalog contributor b11676996.
- catalog created "2000.".
- catalog date "2000".
- catalog date "2000.".
- catalog dateCopyrighted "2000.".
- catalog description "1. Categories -- 2. Modules -- 2.1. Generalities -- 2.2. Tensor Products -- 2.3. Exactness of Functors -- 2.4. Projectives, Injectives, and Flats -- 3. Ext and Tor -- 3.1. Complexes and Projective Resolutions -- 3.2. Long Exact Sequences -- 3.3. Flat Resolutions and Injective Resolutions -- 3.4. Consequences -- 4. Dimension Theory -- 4.1. Dimension Shifting -- 4.2. When Flats are Projective -- 4.3. Dimension Zero -- 5. Change of Rings -- 5.1. Computational Considerations -- 5.2. Matrix Rings -- 5.3. Polynomials -- 5.4. Quotients and Localization -- 6. Derived Functors -- 6.1. Additive Functors -- 6.2. Derived Functors -- 6.3. Long Exact Sequences -- I. Existence -- 6.4. Long Exact Sequences -- II. Naturality -- 6.5. Long Exact Sequences -- III. Weirdness -- 6.6. Universality of Ext -- 7. Abstract Homological Algebra -- 7.1. Living Without Elements -- 7.2. Additive Categories -- 7.3. Kernels and Cokernels -- 7.4. Cheating with Projectives -- 7.5. (Interlude) Arrow Categories -- 7.6. Homology in Abelian Categories -- 7.7. Long Exact Sequences -- 7.8. An Alternative for Unbalanced Categories -- 8. Colimits and Tor -- 8.1. Limits and Colimits -- 8.2. Adjoint Functors -- 8.3. Directed Colimits, [actual symbol not reproducible], and Tor -- 8.4. Lazard's Theorem -- 8.5. Weak Dimension Revisited -- 9. Odds and Ends -- 9.1. Injective Envelopes -- 9.2. Universal Coefficients -- 9.3. The Kunneth Theorems -- 9.4. Do Connecting Homomorphisms Commute? -- 9.5. The Ext Product -- 9.6. The Jacobson Radical, Nakayama's Lemma and Quasilocal Rings -- 9.7. Local Rings and Localization Revisited (Expository) -- App. A. GCDs, LCMs, PIDs, and UFDs -- App. B. The Ring of Entire Functions -- App. C. The Mitchell-Freyd Theorem and Cheating in Abelian Categories -- App. D. Noether Correspondences in Abelian Categories.".
- catalog description "Includes bibliographical references (p. [383]-387) and index.".
- catalog extent "x, 395 p. :".
- catalog identifier "038798934X (hc. : alk. paper)".
- catalog isPartOf "Graduate texts in mathematics ; 196".
- catalog issued "2000".
- catalog issued "2000.".
- catalog language "eng".
- catalog publisher "New York : Springer,".
- catalog subject "512/.55 21".
- catalog subject "Algebra, Homological.".
- catalog subject "QA169 .O83 2000".
- catalog tableOfContents "1. Categories -- 2. Modules -- 2.1. Generalities -- 2.2. Tensor Products -- 2.3. Exactness of Functors -- 2.4. Projectives, Injectives, and Flats -- 3. Ext and Tor -- 3.1. Complexes and Projective Resolutions -- 3.2. Long Exact Sequences -- 3.3. Flat Resolutions and Injective Resolutions -- 3.4. Consequences -- 4. Dimension Theory -- 4.1. Dimension Shifting -- 4.2. When Flats are Projective -- 4.3. Dimension Zero -- 5. Change of Rings -- 5.1. Computational Considerations -- 5.2. Matrix Rings -- 5.3. Polynomials -- 5.4. Quotients and Localization -- 6. Derived Functors -- 6.1. Additive Functors -- 6.2. Derived Functors -- 6.3. Long Exact Sequences -- I. Existence -- 6.4. Long Exact Sequences -- II. Naturality -- 6.5. Long Exact Sequences -- III. Weirdness -- 6.6. Universality of Ext -- 7. Abstract Homological Algebra -- 7.1. Living Without Elements -- 7.2. Additive Categories -- 7.3. Kernels and Cokernels -- 7.4. Cheating with Projectives -- 7.5. (Interlude) Arrow Categories -- 7.6. Homology in Abelian Categories -- 7.7. Long Exact Sequences -- 7.8. An Alternative for Unbalanced Categories -- 8. Colimits and Tor -- 8.1. Limits and Colimits -- 8.2. Adjoint Functors -- 8.3. Directed Colimits, [actual symbol not reproducible], and Tor -- 8.4. Lazard's Theorem -- 8.5. Weak Dimension Revisited -- 9. Odds and Ends -- 9.1. Injective Envelopes -- 9.2. Universal Coefficients -- 9.3. The Kunneth Theorems -- 9.4. Do Connecting Homomorphisms Commute? -- 9.5. The Ext Product -- 9.6. The Jacobson Radical, Nakayama's Lemma and Quasilocal Rings -- 9.7. Local Rings and Localization Revisited (Expository) -- App. A. GCDs, LCMs, PIDs, and UFDs -- App. B. The Ring of Entire Functions -- App. C. The Mitchell-Freyd Theorem and Cheating in Abelian Categories -- App. D. Noether Correspondences in Abelian Categories.".
- catalog title "Basic homological algebra / M. Scott Osborne.".
- catalog type "text".