Monomial ideals
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...
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| Hlavní autoři: | , |
|---|---|
| Médium: | Livre numérique |
| Jazyk: | Anglais |
| Vydáno: |
London :
Springer London
[20..].
Cham : Springer Nature |
| Vydání: | 1st ed. 2011. |
| Edice: | Graduate Texts in Mathematics
260 |
| Témata: | |
| On-line přístup: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Poznámka: |
Description d'après consultation du 24 avril 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Monomial ideals, Jürgen Herzog, Takayuki Hibi, 2011, London [etc.], Springer, 1 vol. (XVI-305 p.), Graduate texts in mathematics, 978-0-85729-105-9 • Monomial ideals, Jürgen Herzog, Takayuki Hibi, 2011, London [etc.], Springer, 1 vol. (XVI-305 p.), Graduate texts in mathematics, 978-0-85729-105-9 • Monomial Ideals, Texte imprimé, 9780857291073 • Monomial Ideals, Texte imprimé, 9781447125945 |
Obsah:
- 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