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Titlebook: Binomial Ideals; Jürgen Herzog,Takayuki Hibi,Hidefumi Ohsugi Textbook 2018 Springer International Publishing AG, part of Springer Nature 2

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發(fā)表于 2025-3-21 18:07:16 | 只看該作者 |倒序瀏覽 |閱讀模式
期刊全稱Binomial Ideals
影響因子2023Jürgen Herzog,Takayuki Hibi,Hidefumi Ohsugi
視頻videohttp://file.papertrans.cn/187/186314/186314.mp4
發(fā)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
學(xué)科分類Graduate Texts in Mathematics
圖書封面Titlebook: Binomial Ideals;  Jürgen Herzog,Takayuki Hibi,Hidefumi Ohsugi Textbook 2018 Springer International Publishing AG, part of Springer Nature 2
影響因子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 Gr?bner 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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Menschen · Arbeit Neue Technologienolving a system of polynomial equations. Finally, in Section 1.5, we discuss the universal Gr?bner basis of an ideal. This is a finite set of polynomials which is a Gr?bner basis for the ideal with respect to any monomial order.
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Polynomial Rings and Gr?bner Basesolving a system of polynomial equations. Finally, in Section 1.5, we discuss the universal Gr?bner basis of an ideal. This is a finite set of polynomials which is a Gr?bner basis for the ideal with respect to any monomial order.
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Textbook 2018dition 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 Gr?bner bases and the necessary algebraic and homologi
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Menschen · Arbeit Neue Technologienn Section 4.3, we study the Lawrence lifting of a configuration, which is a powerful tool for computing the Graver basis of a toric ideal. Furthermore, unimodular polytopes, which form a distinguished subclass of the class of normal polytopes, are discussed.
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