Foundations of Relative Homological Algebra.
Material type:
- text
- computer
- online resource
- 9781470400019
- QA169.E35 1965
Intro -- INTRODUCTION -- CHAPTER I: RELATIVE HOMOLOGICAL ALGEBRA -- 1. Review of categories -- 2. Closed and projective classes -- 3. Resolutions and derived functors -- 4. Categories with kernels -- 5. Subcategories -- 6. Resolvents -- CHAPTER II: THE ADJOINT THEOREM -- 1. Adjoint functors -- 2. The adjoint theorem -- 3. The multiple adjoint theorem -- 4. A refinement -- 5. Generators -- CHAPTER III: EXAMPLES -- 1. Groups -- 2. Abelian groups -- 3. Banach spaces -- 4. Rings and modules -- 5. Coalgebras, comodules and contramodules -- CHAPTER IV: COMPLEXES AN ABELIAN CATEGORY -- 1. The category Ca -- 2. A general theorem -- 3. Projective classes in Ca -- 4. Subcategories of Ca -- 5. An application -- BIBLIOGRAPHY.
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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
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