Binomial Ideals

• Κύριοι συγγραφείς: Herzog, Jürgen (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut), Hibi, Takayuki (http://id.loc.gov/vocabulary/relators/aut), Ohsugi, Hidefumi (http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Έκδοση: 1st ed. 2018.
• Σειρά: Graduate Texts in Mathematics, 279
• Θέματα: Commutative algebra.; Commutative rings.; Convex geometry .; Discrete geometry.; Combinatorics.; Commutative Rings and Algebras.; Convex and Discrete Geometry.

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...

Πίνακας περιεχομένων:

• 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.