© 2017

Computations and Combinatorics in Commutative Algebra

EACA School, Valladolid 2013

  • Anna M. Bigatti
  • Philippe Gimenez
  • Eduardo Sáenz-de-Cabezón


  • Provides an up-to-date survey of three important topics at the intersection of combinatorics and commutative algebra

  • Numerous examples and algorithms illustrate relevant computational aspects of the subject

  • Gives a broad introduction to important topics aimed at researchers of all levels


Part of the Lecture Notes in Mathematics book series (LNM, volume 2176)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Anna M. Bigatti, Emanuela De Negri
    Pages 1-39
  3. Irena Swanson, Eduardo Sáenz-de-Cabezón
    Pages 41-75
  4. Fatemeh Mohammadi, Volkmar Welker
    Pages 77-122
  5. Back Matter
    Pages 123-129

About this book


Featuring up-to-date coverage of three topics lying at the intersection of combinatorics and commutative algebra, namely Koszul algebras, primary decompositions and subdivision operations in simplicial complexes, this book has its focus on computations. 
"Computations and combinatorics in commutative algebra" has been written by experts in both theoretical and computational aspects of these three subjects and is aimed at a broad audience, from experienced researchers who want to have an easy but deep review of the topics covered to postgraduate students who need a quick introduction to the techniques. The computational treatment of the material, including plenty of examples and code, will be useful for a wide range of professionals interested in the connections between commutative algebra and combinatorics.


13-02, 13P99, 68W30, 05E40, 05E45 Koszul algebras Primary decompositions Subdivision operators Combinatorial commutative algebra Computational commutative algebra

Editors and affiliations

  • Anna M. Bigatti
    • 1
  • Philippe Gimenez
    • 2
  • Eduardo Sáenz-de-Cabezón
    • 3
  1. 1.Dipartimento di MatematicaUniversità degli Studi di GenovaGenovaItaly
  2. 2.Instituto de Investigación en Matemáticas (IMUVA)Universidad de ValladolidValladolidSpain
  3. 3.Departamento de Matemáticas y ComputaciónUniversidad de La RiojaLogroñoSpain

Bibliographic information

  • Book Title Computations and Combinatorics in Commutative Algebra
  • Book Subtitle EACA School, Valladolid 2013
  • Editors Anna M. Bigatti
    Philippe Gimenez
    Eduardo Sáenz-de-Cabezón
  • Series Title Lecture Notes in Mathematics
  • Series Abbreviated Title Lect.Notes Mathematics
  • DOI
  • Copyright Information Springer International Publishing AG 2017
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics Mathematics and Statistics (R0)
  • Softcover ISBN 978-3-319-51318-8
  • eBook ISBN 978-3-319-51319-5
  • Series ISSN 0075-8434
  • Series E-ISSN 1617-9692
  • Edition Number 1
  • Number of Pages VIII, 127
  • Number of Illustrations 9 b/w illustrations, 16 illustrations in colour
  • Topics Commutative Rings and Algebras
  • Buy this book on publisher's site