1 option
Commutative algebra : an introduction / J. William Hoffman, Xiaohong Jia, Haohao Wang.
- Format:
- Book
- Author/Creator:
- Hoffman, Jerome William, 1952- author.
- Jia, Xiaohong, author.
- Wang, Haohao, author.
- Language:
- English
- Subjects (All):
- Commutative algebra.
- Geometry, Algebraic.
- Physical Description:
- 1 online resource (203 pages)
- Edition:
- 1st ed.
- Place of Publication:
- Dulles, Virginia ; Boston, Massachusetts ; New Delhi, [India] : Mercury Learning & Information, 2016.
- Contents:
- Front Matter
- Half Title
- License Page
- Title Page
- Copyright Page
- Contents
- Preface
- List of Figures
- Body Matter
- 1. Introduction
- 2. Rings and Ideals
- 2.1 Rings and Ideals
- 2.2 Localization of a Ring
- 2.3 Ideals in a Polynomial Ring
- 2.4 Grobner Basis of an Ideal
- 2.5 Elimination and Extension
- 2.6 Implicitization
- 2.7 Schemes
- 2.8 Grobner Basis Applications
- 3. Modules
- 3.1 Modules
- 3.2 Exact Sequences and Commutative Diagrams
- 3.3 Projective and Injective Modules
- 3.4 Tensor Product of Modules
- 3.5 Flatness
- 3.6 Localization
- 3.7 Local Property
- 3.8 Associated Primes
- 3.9 Primary Decomposition of Modules
- 3.10 Modules of Finite Length
- 3.11 Krull Dimension of a Ring
- 3.12 Dimension of Modules
- 3.13 Rank of Modules
- 3.14 Computational Applications
- 4. Graded and Local Rings and Modules
- 4.1 Graded Rings and Modules
- 4.2 Graded Localization
- 4.3 Graded Associated Primes
- 4.4 Filtration
- 4.5 System of Parameters
- 4.6 Regular and Quasi-regular M-Sequence
- 4.7 Proj of a Graded Ring
- 4.8 Graded Free Resolution
- 4.9 Dimension and Multiplicity
- 4.10 Applications
- 5. Homological Method
- 5.1 Complexes
- 5.2 Complex of Tor
- 5.3 Koszul Complex
- 5.4 Regular Sequences
- 5.5 Regular Rings
- 5.6 Complex of Ext
- 5.7 Exactness Criteria for Complexes
- 5.8 Local Cohomology
- 5.9 Applications
- Back Matter
- BIbliography
- Index.
- Notes:
- Includes bibliographical references and index.
- Description based on print version record.
- ISBN:
- 1-944534-70-9
The Penn Libraries is committed to describing library materials using current, accurate, and responsible language. If you discover outdated or inaccurate language, please fill out this feedback form to report it and suggest alternative language.