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Book Cover
E-book
Author Herzog, Jürgen, 1941-

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

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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
0857291068
085729105X
9780857291059