| Hardcover ISBN: | 978-0-8218-7287-1 |
| Product Code: | GSM/130 |
| List Price: | $99.00 |
| MAA Member Price: | $89.10 |
| AMS Member Price: | $79.20 |
| Sale Price: | $64.35 |
| eBook ISBN: | 978-0-8218-8327-3 |
| Product Code: | GSM/130.E |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| Sale Price: | $55.25 |
| Hardcover ISBN: | 978-0-8218-7287-1 |
| eBook: ISBN: | 978-0-8218-8327-3 |
| Product Code: | GSM/130.B |
| List Price: | $184.00 $141.50 |
| MAA Member Price: | $165.60 $127.35 |
| AMS Member Price: | $147.20 $113.20 |
| Sale Price: | $119.60 $91.98 |
| Hardcover ISBN: | 978-0-8218-7287-1 |
| Product Code: | GSM/130 |
| List Price: | $99.00 |
| MAA Member Price: | $89.10 |
| AMS Member Price: | $79.20 |
| Sale Price: | $64.35 |
| eBook ISBN: | 978-0-8218-8327-3 |
| Product Code: | GSM/130.E |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| Sale Price: | $55.25 |
| Hardcover ISBN: | 978-0-8218-7287-1 |
| eBook ISBN: | 978-0-8218-8327-3 |
| Product Code: | GSM/130.B |
| List Price: | $184.00 $141.50 |
| MAA Member Price: | $165.60 $127.35 |
| AMS Member Price: | $147.20 $113.20 |
| Sale Price: | $119.60 $91.98 |
-
Book DetailsGraduate Studies in MathematicsVolume: 130; 2011; 164 ppMSC: Primary 13
This book provides a concise yet comprehensive and self-contained introduction to Gröbner basis theory and its applications to various current research topics in commutative algebra. It especially aims to help young researchers become acquainted with fundamental tools and techniques related to Gröbner bases which are used in commutative algebra and to arouse their interest in exploring further topics such as toric rings, Koszul and Rees algebras, determinantal ideal theory, binomial edge ideals, and their applications to statistics.
The book can be used for graduate courses and self-study. More than 100 problems will help the readers to better understand the main theoretical results and will inspire them to further investigate the topics studied in this book.
ReadershipGraduate students and research mathematicians interested in Groebner bases.
-
Table of Contents
-
Chapters
-
Chapter 1. Polynomial rings and ideals
-
Chapter 2. Gröbner bases
-
Chapter 3. First applications
-
Chapter 4. Gröbner bases for modules
-
Chapter 5. Gröbner bases of toric ideals
-
Chapter 6. Selected applications in commutative algebra and combinatorics
-
-
Additional Material
-
RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
This book provides a concise yet comprehensive and self-contained introduction to Gröbner basis theory and its applications to various current research topics in commutative algebra. It especially aims to help young researchers become acquainted with fundamental tools and techniques related to Gröbner bases which are used in commutative algebra and to arouse their interest in exploring further topics such as toric rings, Koszul and Rees algebras, determinantal ideal theory, binomial edge ideals, and their applications to statistics.
The book can be used for graduate courses and self-study. More than 100 problems will help the readers to better understand the main theoretical results and will inspire them to further investigate the topics studied in this book.
Graduate students and research mathematicians interested in Groebner bases.
-
Chapters
-
Chapter 1. Polynomial rings and ideals
-
Chapter 2. Gröbner bases
-
Chapter 3. First applications
-
Chapter 4. Gröbner bases for modules
-
Chapter 5. Gröbner bases of toric ideals
-
Chapter 6. Selected applications in commutative algebra and combinatorics
