[书籍] 组合交换代数
出版社:
世界图书出版公司
简介:
The last decade has seen a number of exciting developments at the intersection of commutative algebra with combinatorics. New methods have evolved out of an influx of ideas from such diverse areas as polyhedral geometry， theoretical physics， representation theory， homological algebra， symplectic geometry， graph theory， integer programming， symbolic computation， and statistics. The purpose of this volume is to provide a selfcontained introduction to some of the resulting combinatorial techniques for dealing with polynomial rings， semigroup rings， and determinantal rings.Our exposition mainly concerns combinatorially defined ideals and their quotients， with a focus on numerical invariants and resolutions， especially under gradings more refined than the standard integer grading.
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