Cantitate/Preț
Produs

Monomial Ideals (Graduate Texts in Mathematics, nr. 260)

De (autor) ,
Notă GoodReads:
en Limba Engleză Carte Paperback – December 2012
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.
Citește tot Restrânge
Toate formatele și edițiile
Toate formatele și edițiile Preț Express
Carte Paperback (1) 31434 lei  Economic 5-7 săpt. +8263 lei  12-19 zile
  SPRINGER LONDON – December 2012 31434 lei  Economic 5-7 săpt. +8263 lei  12-19 zile
Carte Hardback (1) 40278 lei  Economic 2-4 săpt. +4217 lei  12-19 zile
  SPRINGER LONDON – 07 Oct 2010 40278 lei  Economic 2-4 săpt. +4217 lei  12-19 zile

Din seria Graduate Texts in Mathematics

Preț: 31434 lei

Puncte Express: 472

Preț estimativ în valută:
6287 7130$ 5478£

Carte tipărită la comandă

Livrare economică 30 martie-13 aprilie
Livrare express 07-14 martie pentru 9262 lei

Preluare comenzi: 021 569.72.76

Specificații

ISBN-13: 9781447125945
ISBN-10: 1447125940
Pagini: 324
Dimensiuni: 155 x 235 x 17 mm
Greutate: 0.45 kg
Ediția: 2011
Editura: SPRINGER LONDON
Colecția Springer
Seria Graduate Texts in Mathematics

Locul publicării: London, United Kingdom

Public țintă

Graduate

Cuprins

Part I Gröbner bases: Monomial Ideals.- A short introduction to Gröbner bases.- Monomial orders and weights.- Generic initial ideals.- The exterior algebra.- Part II: 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 III Combinatorics: Alexander duality and finite graphs.- Powers of monomial ideals.- Shifting theory.- Discrete Polymatroids.- Some homological algebra.- Geometry

Recenzii

From the reviews:
“The authors … who themselves have played an important, often crucial, role in recent developments of the subject, make an ideal co-author pairing for composing a book with such a comprehensive choice of material, including the latest achievements. It should serve as a useful resource for researchers in both commutative algebra and combinatorics. … The presentation of the material is distinctive for its clarity and elegant style. … The text can serve nicely as a basis for a couple of graduate courses in two semesters.” (Rahim Zaare-Nahandi, Mathematical Reviews, Issue 2011 k)

Textul de pe ultima copertă

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.

Caracteristici

-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