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| Modules | |
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| Modules | |
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| Free Modules | |
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| Exact Sequences | |
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| Homomorphisms | |
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| Tensor Product of Modules | |
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| Direct and Inverse Limits | |
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| Pull Back and Push Out | |
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| Categories and Functors | |
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| Categories | |
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| Functors | |
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| The Functors Hom and Tensor | |
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| Projective and Injective Modules | |
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| Projective Modules | |
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| Injective Modules | |
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| Baer's Criterion | |
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| An Embedding Theorem | |
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| Homology of Complexes | |
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| Ker--Coker Sequence | |
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| Connecting Homomorphism--the General Case | |
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| Homotopy | |
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| Derived Functors | |
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| Projective Resolutions | |
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| Injective Resolutions | |
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| Derived Functors | |
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| Torsion and Extension Functors | |
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| Derived Functors--Revisited | |
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| Torsion and Extension Functors | |
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| Some Further Properties of Tor[superscript R subscript n] | |
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| Tor and Direct Limits | |
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| The Functor Ext[superscript n subscript R] | |
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| Ext[superscript 1] and Extensions | |
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| Baer Sum of Extensions | |
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| Some Further Properties of Ext[superscript n subscript R] | |
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| Hereditary and Semihereditary Rings | |
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| Hereditary Rings and Dedekind Domains | |
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| Invertible Ideals and Dedekind Rings | |
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| Semihereditary and Prufer Rings | |
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| Universal Coefficient Theorem | |
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| Universal Coefficient Theorem for Homology | |
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| Universal Coefficient Theorem for Cohomology | |
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| The Kunneth Formula--A Special Case | |
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| Dimensions of Modules and Rings | |
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| Projectively and Injectively Equivalent Modules | |
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| Dimensions of Modules and Rings | |
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| Global Dimension of Rings | |
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| Global Dimension of Noetherian Rings | |
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| Global Dimension of Artin Rings | |
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| Cohomology of Groups | |
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| Homology and Cohomology Groups | |
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| Some Examples | |
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| The Groups H[superscript 0] (G, A) and H[subscript 0](G, A) | |
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| The Groups H[superscript 1](G, A) and H[subscript 1](G, A) | |
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| Homology and Cohomology of Direct Sums | |
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| The Bar Resolution | |
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| Second Cohomology Group and Extensions | |
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| Some Homomorphisms | |
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| Some Exact Sequences | |
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| Some Applications | |
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| An Exact Sequence | |
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| Outer Automorphisms of p-Groups | |
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| A Theorem of Magnus | |
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| Bibliography | |
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| Index | |