
Grobner Bases in Commutative Algebra
American Mathematical Society (Publisher)
Published on 30. December 2011
Book
Hardback
164 pages
978-0-8218-7287-1 (ISBN)
Description
This book provides a concise yet comprehensive and self-contained introduction to Grobner 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 Grobner 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.
More details
Series
Language
English
Place of publication
Providence
United States
Target group
Professional and scholarly
Weight
477 gr
ISBN-13
978-0-8218-7287-1 (9780821872871)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Persons
Viviana Ene, Ovidius University, Constanta, Romania
Juergen Herzog, Universitaet Duisburg-Essen, Essen, Germany
Juergen Herzog, Universitaet Duisburg-Essen, Essen, Germany
Content
Polynomial rings and ideals
Grobner bases
First applications
Grobner bases for modules
Grobner bases of toric ideals
Selected applications in commutative algebra and combinatorics
Bibliography
Index
Grobner bases
First applications
Grobner bases for modules
Grobner bases of toric ideals
Selected applications in commutative algebra and combinatorics
Bibliography
Index