Monomial Ideals Monomial Ideals

Monomial Ideals

    • 52,99 €
    • 52,99 €

Beschreibung des Verlags

This book demonstrates current trends in research on combinatorial and computational commutative algebra with a primary emphasis on topics related to monomial ideals.

Providing a useful and quick introduction to areas of research spanning these fields, Monomial Ideals is split into three parts. Part I offers a quick introduction to the modern theory of Gröbner bases as well as the detailed study of generic initial ideals. Part II supplies Hilbert functions and resolutions and some of the combinatorics related to monomial ideals including the Kruskal—Katona theorem and algebraic aspects of Alexander duality. Part III discusses combinatorial applications of monomial ideals, providing a valuable overview of some of the central trends in algebraic combinatorics.

Main subjects include edge ideals of finite graphs, powers of ideals, algebraic shifting theory and an introduction to discrete polymatroids. Theory is complemented by a number of examples and exercises throughout, bringing the reader to a deeper understanding of concepts explored within the text.

Self-contained and concise, this book will appeal to a wide range of readers, including PhD students on advanced courses, experienced researchers, and combinatorialists and non-specialists with a basic knowledge of commutative algebra.

Since their first meeting in 1985, Juergen Herzog (Universität Duisburg-Essen, Germany) and Takayuki Hibi (Osaka University, Japan), have worked together on a number of research projects, of which recent results are presented in this monograph.

GENRE
Wissenschaft und Natur
ERSCHIENEN
2010
28. September
SPRACHE
EN
Englisch
UMFANG
321
Seiten
VERLAG
Springer London
ANBIETERINFO
Springer Science & Business Media LLC
GRÖSSE
10,6
 MB
Six Lectures on Commutative Algebra Six Lectures on Commutative Algebra
2010
Graded Syzygies Graded Syzygies
2010
Combinatorial Aspects of Commutative Algebra and Algebraic Geometry Combinatorial Aspects of Commutative Algebra and Algebraic Geometry
2011
Standard Monomial Theory Standard Monomial Theory
2007
Determinants, Gröbner Bases and Cohomology Determinants, Gröbner Bases and Cohomology
2022
Modular Invariant Theory Modular Invariant Theory
2011
Praktische Neurorehabilitation Praktische Neurorehabilitation
2014
Praktische Neurorehabilitation Praktische Neurorehabilitation
2024
Binomial Ideals Binomial Ideals
2018