Book contents
- Frontmatter
- Contents
- Preface to the 1st Edition
- Preface to the 2nd Edition
- 1 Commutative rings and subrings
- 2 Ideals
- 3 Prime ideals and maximal ideals
- 4 Primary decomposition
- 5 Rings of fractions
- 6 Modules
- 7 Chain conditions on modules
- 8 Commutative Noetherian rings
- 9 More module theory
- 10 Modules over principal ideal domains
- 11 Canonical forms for square matrices
- 12 Some applications to field theory
- 13 Integral dependence on subrings
- 14 Afflne algebras over fields
- 15 Dimension theory
- 16 Regular sequences and grade
- 17 Cohen–Macaulay rings
- Bibliography
- Index
Bibliography
Published online by Cambridge University Press: 06 January 2010
- Frontmatter
- Contents
- Preface to the 1st Edition
- Preface to the 2nd Edition
- 1 Commutative rings and subrings
- 2 Ideals
- 3 Prime ideals and maximal ideals
- 4 Primary decomposition
- 5 Rings of fractions
- 6 Modules
- 7 Chain conditions on modules
- 8 Commutative Noetherian rings
- 9 More module theory
- 10 Modules over principal ideal domains
- 11 Canonical forms for square matrices
- 12 Some applications to field theory
- 13 Integral dependence on subrings
- 14 Afflne algebras over fields
- 15 Dimension theory
- 16 Regular sequences and grade
- 17 Cohen–Macaulay rings
- Bibliography
- Index
Summary
- Type
- Chapter
- Information
- Steps in Commutative Algebra , pp. 345 - 346Publisher: Cambridge University PressPrint publication year: 2001