| 期刊全称 | Binomial Ideals | | 影响因子2023 | Jürgen Herzog,Takayuki Hibi,Hidefumi Ohsugi | | 视频video | | | 发行地址 | Presents a thorough study of binomial ideals and their applications, working from the basics through to current research.Offers an accessible introduction to the area for combinatorialists and statist | | 学科分类 | Graduate Texts in Mathematics | | 图书封面 |  | | 影响因子 | This textbook provides an introduction to the combinatorial and statistical aspects of commutative algebra with an emphasis on binomial ideals. In addition to thorough coverage of the basic concepts and theory, it explores current trends, results, and applications of binomial ideals to other areas of mathematics. .The book begins with a brief, self-contained overview of the modern theory of Gröbner bases and the necessary algebraic and homological concepts from commutative algebra. Binomials and binomial ideals are then considered in detail, along with a short introduction to convex polytopes. Chapters in the remainder of the text can be read independently and explore specific aspects of the theory of binomial ideals, including edge rings and edge polytopes, join-meet ideals of finite lattices, binomial edge ideals, ideals generated by 2-minors, and binomial ideals arising from statistics. Each chapter concludes with a set of exercises and a list of related topics and results that will complement and offer a better understanding of the material presented..Binomial Ideals. is suitable for graduate students in courses on commutative algebra, algebraic combinatorics, and statisti | | Pindex | Textbook 2018 |
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发表于 2025-3-21 18:07:16
