Book contents
- Frontmatter
- Contents
- Preface
- Introduction
- Conventions and terminology
- 1 Commutative rings and modules
- 2 Prime ideals
- 3 Properties of extension rings
- 4 Valuation rings
- 5 Dimension theory
- 6 Regular sequences
- 7 Regular rings
- 8 Flatness revisited
- 9 Derivations
- 10 I-smoothness
- 11 Applications of complete local rings
- Appendix A Tensor products, direct and inverse limits
- Appendix B Some homological algebra
- Appendix C The exterior algebra
- Solutions and hints for exercises
- References
- Index
11 - Applications of complete local rings
Published online by Cambridge University Press: 05 June 2012
- Frontmatter
- Contents
- Preface
- Introduction
- Conventions and terminology
- 1 Commutative rings and modules
- 2 Prime ideals
- 3 Properties of extension rings
- 4 Valuation rings
- 5 Dimension theory
- 6 Regular sequences
- 7 Regular rings
- 8 Flatness revisited
- 9 Derivations
- 10 I-smoothness
- 11 Applications of complete local rings
- Appendix A Tensor products, direct and inverse limits
- Appendix B Some homological algebra
- Appendix C The exterior algebra
- Solutions and hints for exercises
- References
- Index
Summary

- Type
- Chapter
- Information
- Commutative Ring Theory , pp. 246 - 265Publisher: Cambridge University PressPrint publication year: 1987