Book contents
- Frontmatter
- Dedication
- Epigraph
- Contents
- Preface
- Introduction
- 1 Topological Rings and Modules and Their Completions
- 2 Inverse Limits
- 3 The Idea of Slenderness
- 4 Objects of Type Π / ⨿
- 5 Concrete Examples. Slender Rings
- 6 More Examples of Slender Objects
- Appendix Ordered Sets and Measurable Cardinals
- References
- Notation Index
- Name Index
- Subject Index
3 - The Idea of Slenderness
Published online by Cambridge University Press: 30 November 2018
- Frontmatter
- Dedication
- Epigraph
- Contents
- Preface
- Introduction
- 1 Topological Rings and Modules and Their Completions
- 2 Inverse Limits
- 3 The Idea of Slenderness
- 4 Objects of Type Π / ⨿
- 5 Concrete Examples. Slender Rings
- 6 More Examples of Slender Objects
- Appendix Ordered Sets and Measurable Cardinals
- References
- Notation Index
- Name Index
- Subject Index
Summary
A fundamental characterization of slenderness in Abelian categories is given in this central chapter. This is then specialized to module categories. A number of properties and constructions are also covered here.Further specialization to torsion-free modules and domains is discussed.
Keywords
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- Slenderness , pp. 119 - 149Publisher: Cambridge University PressPrint publication year: 2018