| 书目名称 | Combinatorics and Commutative Algebra |
| 编辑 | Richard P. Stanley |
| 视频video | |
| 概述 | Stanley represents a broad perspective with respect to two significant topics from Combinatorial Commutative Algebra.The theory of invariants of a torus acting linearly on a polynomial ring.The face r |
| 丛书名称 | Progress in Mathematics |
| 图书封面 |  |
| 描述 | .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...New to this edition is a chapter surveying more recent work related to face rings, focusing on applications to f-vectors.. |
| 出版日期 | Textbook 1996Latest edition |
| 关键词 | Combinatorics; cls; commutative algebra; matroid; topology |
| 版次 | 2 |
| doi | https://doi.org/10.1007/b139094 |
| isbn_softcover | 978-0-8176-4369-0 |
| isbn_ebook | 978-0-8176-4433-8Series ISSN 0743-1643 Series E-ISSN 2296-505X |
| issn_series | 0743-1643 |
| copyright | Birkhäuser Boston 1996 |
发表于 2025-3-21 19:41:23
