Screen LibraryMonomial ideals
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| Main Authors: | |
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| Corporate Authors: | |
| Group Author: | |
| Published: |
Springer,
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| Publisher Address: | London New York |
| Publication Dates: | c2011. |
| Literature type: | Book |
| Language: | English |
| Series: |
Graduate texts in mathematics ; 260 |
| Subjects: | |
| Online Access: |
http://dx.doi.org/10.1007/978-0-85729-106-6 |
| Carrier Form: | 1 online resource (xvi, 305 p.): ill. |
| ISBN: |
9780857291066 (electronic bk.) 0857291068 (electronic bk.) |
| Index Number: | O153 |
| CLC: | O153.3 |
| Contents: |
Includes bibliographical references (p. 295-300) and index. 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. |