Binomial Ideals

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 o...

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Hlavní autor: Herzog, Jürgen (Autor)
Médium: Elektronický zdroj E-kniha
Jazyk:angličtina
Vydáno: Cham : Springer International Publishing, 2018.
Vydání:1st ed. 2018.
Edice:Graduate Texts in Mathematics, 279
Témata:
Commutative algebra.
Commutative rings.
Convex geometry .
Discrete geometry.
Combinatorics.
ISBN:9783319953496
ISSN:0072-5285 ;
On-line přístup: Získat plný text
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Obsah:
  • Part I: Basic Concepts
  • Polynomial Rings and Gröbner Bases
  • Review of Commutative Algebra
  • Part II:Binomial Ideals and Convex Polytopes
  • Introduction to Binomial Ideals
  • Convex Polytopes and Unimodular Triangulations
  • Part III. Applications in Combinatorics and Statistics- Edge Polytopes and Edge Rings
  • Join-Meet Ideals of Finite Lattices
  • Binomial Edge Ideals and Related Ideals
  • Ideals Generated by 2-Minors
  • Statistics
  • References
  • Index.

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