Combinatorics and commutative algebra / Richard P. Stanley
Type de document : MonographieCollection : Progress in mathematics, 41Langue : anglais.Pays: Etats Unis.Éditeur : Boston (Mass.), Basel, Stuttgart : Birkhäuser, 1983Description : 1 vol. (VIII-88 p.) ; 24 cmISBN: 0817631127; 3764331127.ISSN: 0743-1643.Bibliographie : Bibliogr. p. 86-88.Sujet MSC : 13C13, Theory of modules and ideals in commutative rings, Other special types of modules and ideals13H10, Commutative algebra - Local rings and semilocal rings, Special types
52Bxx, Convex and discrete geometry - Polytopes and polyhedra
15-02, Research exposition (monographs, survey articles) pertaining to linear algebra
52-02, Research exposition (monographs, survey articles) pertaining to convex and discrete geometry
11C20, Polynomials and matrices, Matrices, determinants in number theoryEn-ligne : Springerlink - ed. 1996
| Item type | Current library | Call number | Status | Date due | Barcode |
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Monographie
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CMI Salle 1 | 13 STA (Browse shelf(Opens below)) | Available | 08484-01 |
Bibliogr. p. 86-88
Some remarkable connections between commutative algebra and combinatorics have been discovered in recent years. This book provides an overview of two of the main topics in this area. The first concerns the solutions of linear equations in nonnegative integers. Applications are given to the enumeration of integer stochastic matrices (or magic squares), the volume of polytopes, combinatorial reciprocity theorems, and related results. The second topic deals with the face ring of a simplicial complex, and includes a proof of the Upper Bound Conjecture for Spheres. An introductory chapter giving background information in algebra, combinatorics and topology broadens access to this material for non-specialists. (Source : Springer)
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