Coverart for item
The Resource Binomial Ideals, by Jürgen Herzog, Takayuki Hibi, Hidefumi Ohsugi, (electronic resource)

Binomial Ideals, by Jürgen Herzog, Takayuki Hibi, Hidefumi Ohsugi, (electronic resource)

Label
Binomial Ideals
Title
Binomial Ideals
Statement of responsibility
by Jürgen Herzog, Takayuki Hibi, Hidefumi Ohsugi
Creator
Contributor
Author
Subject
Language
eng
Summary
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 statistics. Additionally, researchers interested in any of these areas but familiar with only the basic facts of commutative algebra will find it to be a valuable resource.--
Member of
Assigning source
Provided by publisher
http://library.link/vocab/creatorName
Herzog, Jürgen
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
  • Hibi, Takayuki.
  • Ohsugi, Hidefumi.
Series statement
  • Springer eBooks
  • Springer eBooks.
  • Graduate Texts in Mathematics,
Series volume
279
http://library.link/vocab/subjectName
  • Algebra
  • Combinatorics
  • Discrete groups
Label
Binomial Ideals, by Jürgen Herzog, Takayuki Hibi, Hidefumi Ohsugi, (electronic resource)
Link
http://ezproxy.eui.eu/login?url=https://doi.org/10.1007/978-3-319-95349-6
Instantiates
Publication
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
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
Control code
978-3-319-95349-6
Dimensions
unknown
Extent
1 online resource (XIX, 321 pages)
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319953496
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
55 illustrations, 4 illustrations in color.
Specific material designation
remote
System control number
(OCoLC)1055458254
Label
Binomial Ideals, by Jürgen Herzog, Takayuki Hibi, Hidefumi Ohsugi, (electronic resource)
Link
http://ezproxy.eui.eu/login?url=https://doi.org/10.1007/978-3-319-95349-6
Publication
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
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
Control code
978-3-319-95349-6
Dimensions
unknown
Extent
1 online resource (XIX, 321 pages)
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319953496
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
55 illustrations, 4 illustrations in color.
Specific material designation
remote
System control number
(OCoLC)1055458254

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