Book contents
- Frontmatter
- Contents
- Introduction to the Second Edition
- Introduction to the First Edition
- Prologue
- 1 A Few Noetherian Rings
- 2 Skew Polynomial Rings
- 3 Prime Ideals
- 4 Semisimple Modules, Artinian Modules, and Torsionfree Modules
- 5 Injective Hulls
- 6 Semisimple Rings of Fractions
- 7 Modules over Semiprime Goldie Rings
- 8 Bimodules and Affiliated Prime Ideals
- 9 Fully Bounded Rings
- 10 Rings and Modules of Fractions
- 11 Artinian Quotient Rings
- 12 Links Between Prime Ideals
- 13 The Artin-Rees Property
- 14 Rings Satisfying the Second Layer Condition
- 15 Krull Dimension
- 16 Numbers of Generators of Modules
- 17 Transcendental Division Algebras
- Appendix. Some Test Problems for Noetherian Rings
- Bibliography
- Index
Appendix. Some Test Problems for Noetherian Rings
Published online by Cambridge University Press: 11 November 2010
- Frontmatter
- Contents
- Introduction to the Second Edition
- Introduction to the First Edition
- Prologue
- 1 A Few Noetherian Rings
- 2 Skew Polynomial Rings
- 3 Prime Ideals
- 4 Semisimple Modules, Artinian Modules, and Torsionfree Modules
- 5 Injective Hulls
- 6 Semisimple Rings of Fractions
- 7 Modules over Semiprime Goldie Rings
- 8 Bimodules and Affiliated Prime Ideals
- 9 Fully Bounded Rings
- 10 Rings and Modules of Fractions
- 11 Artinian Quotient Rings
- 12 Links Between Prime Ideals
- 13 The Artin-Rees Property
- 14 Rings Satisfying the Second Layer Condition
- 15 Krull Dimension
- 16 Numbers of Generators of Modules
- 17 Transcendental Division Algebras
- Appendix. Some Test Problems for Noetherian Rings
- Bibliography
- Index
- Type
- Chapter
- Information
- An Introduction to Noncommutative Noetherian Rings , pp. 319 - 327Publisher: Cambridge University PressPrint publication year: 2004