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Computations and Combinatorics in Commutative Algebra

EACA School, Valladolid 2013

  • 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
  • Includes supplementary material: sn.pub/extras

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

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Table of contents (3 chapters)

  1. Front Matter

    Pages i-viii
  2. Koszul Algebras and Computations

    • Anna M. Bigatti, Emanuela De Negri
    Pages 1-39
  3. Primary Decompositions

    • Irena Swanson, Eduardo Sáenz-de-Cabezón
    Pages 41-75
  4. Combinatorics and Algebra of Geometric Subdivision Operations

    • 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.




Editors and Affiliations

  • Dipartimento di Matematica, Università degli Studi di Genova, Genova, Italy

    Anna M. Bigatti

  • Instituto de Investigación en Matemáticas (IMUVA), Universidad de Valladolid, Valladolid, Spain

    Philippe Gimenez

  • Departamento de Matemáticas y Computación, Universidad de La Rioja, Logroño, Spain

    Eduardo Sáenz-de-Cabezón

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

  • DOI: https://doi.org/10.1007/978-3-319-51319-5

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer International Publishing AG 2017

  • Softcover ISBN: 978-3-319-51318-8Published: 15 March 2017

  • eBook ISBN: 978-3-319-51319-5Published: 14 March 2017

  • 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, Algorithms, Combinatorics

Buy it now

Buying options

eBook USD 54.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 69.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access