Description 
1 online resource (xvi, 305 pages) : illustrations 
Series 
Graduate texts in mathematics ; 260 

Graduate texts in mathematics ; 260

Contents 
Part 1: Gröbner bases  Monomial ideals  Monomial orders and weights  Generic initial ideals  The exterior algebra  Part 2: Hilbert functions and resolutions  Hilbert functions and the theorems of Macaulay and KruskalKatona  Resolutions of monomial ideals and the EliahouKervaire formula  Alexander duality and resolutions  Part 3: Combinatorics  Alexander duality and finite graphs  Powers of monomial ideals  Shifting theory  Discrete polymatroids 
Summary 
Theory is complemented by a number of examples and exercises throughout, bringing the reader to a deeper understanding of concepts explored within the text  Provides a quick and useful introduction to research spanning the fields of combinatorial and computational commutative algebra, with a special focus on monomial ideals  Only a basic knowledge of commutative algebra is required, making this accessible to specialists and nonspecialists alike 
Bibliography 
Includes bibliographical references (pages 295300) and index 
Notes 
Print version record 
In 
Springer eBooks 
Subject 
Commutative algebra.


Ideals (Algebra)


Commutative algebra.


Ideals (Algebra)

Form 
Electronic book

Author 
Hibi, Takayuki

LC no. 
2010937479 
ISBN 
9780857291066 

0857291068 

085729105X 

9780857291059 
