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Book Cover
Author Herzog, Jürgen, 1941-

Title Monomial ideals / Jürgen Herzog, Takayuki Hibi
Published London ; New York : Springer, ©2011


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 Kruskal-Katona -- Resolutions of monomial ideals and the Eliahou-Kervaire 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 non-specialists alike
Bibliography Includes bibliographical references (pages 295-300) 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