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Multigraded Algebra and Applications

NSA 24, Moieciu de Sus, Romania, Аugust 2016

  • Conference proceedings
  • © 2018

Overview

Editors:
  1. Viviana Ene

    1. Faculty of Mathematics and Computer Science, Ovidius University, Constanţa, Romania

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    You can also search for this editor in PubMed   Google Scholar

  2. Ezra Miller

    1. Department of Mathematics, Duke University, Durham, USA

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • Includes the latest research in combinatorial commutative algebra
  • Presents applications in combinatorics, statistics, and biology
  • Perfect for young researchers interested in understanding the recent developments of the field

Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 238)

Included in the following conference series:

Conference proceedings info: NSA 2018.

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Table of contents (9 papers)

  1. Front Matter

    Pages i-xi
    Download chapter PDF

  2. On Toric Face Rings II

    • Florin Ambro
    Pages 1-40

  3. Toric Rings, Inseparability and Rigidity

    • Mina Bigdeli, Jürgen Herzog, Dancheng Lu
    Pages 41-75

  4. On the Stanley Depth and the Schmitt–Vogel Number of Squarefree Monomial Ideals

    • S. A. Seyed Fakhari
    Pages 77-82

  5. Binomial Edge Ideals: A Survey

    • Sara Saeedi Madani
    Pages 83-94

  6. On Codimension Two Flats in Fermat-Type Arrangements

    • Grzegorz Malara, Justyna Szpond
    Pages 95-109

  7. The Monomial Ideal of Independent Sets Associated to a Graph

    • Oana Olteanu
    Pages 111-123

  8. A Bound on Degrees of Primitive Elements of Toric Ideals of Graphs

    • Kamil Rychlewicz
    Pages 125-131

  9. Betti Numbers for Numerical Semigroup Rings

    • Dumitru I. Stamate
    Pages 133-157

  10. Waldschmidt Constants for Stanley–Reisner Ideals of a Class of Graphs

    • Tomasz Szemberg, Justyna Szpond
    Pages 159-167
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Other volumes

  1. Multigraded Algebra and Applications

Keywords

About this book

This volume contains research papers and surveys reflecting the topics discussed at the EMS Summer School on Multigraded Algebra and Applications held in Romania in August 2016. The school, which served as the 24th National School on Algebra, presented the main research directions of combinatorial commutative algebra with a strong focus on its applications in combinatorics, statistics, and biology. Recent progress in the field has led to new insights and suggested algebraic techniques for solving real-world data analysis problems. The summer school and resulting proceedings volume have raised numerous novel questions and encouraged a more interdisciplinary approach for young researchers when considering problems in pure and applied mathematical research.


Featured topics in this volume include toric rings, binomial edge ideals, Betti numbers for numerical semigroup rings, and Waldschmidt constants. Researchers and graduate students interested in the developments of the field will find this book useful for their studies.  


Editors and Affiliations

  • Faculty of Mathematics and Computer Science, Ovidius University, Constanţa, Romania

    Viviana Ene

  • Department of Mathematics, Duke University, Durham, USA

    Ezra Miller

About the editors

Viviana Ene is a professor in the Faculty of Mathematics and Computer Science at Ovidius Universit in Constanta, Romania.

Ezra Miller is a professor in the Mathematics Department at Duke University. 


Bibliographic Information

  • Book Title: Multigraded Algebra and Applications

  • Book Subtitle: NSA 24, Moieciu de Sus, Romania, Аugust 2016

  • Editors: Viviana Ene, Ezra Miller

  • Series Title: Springer Proceedings in Mathematics & Statistics

  • DOI: https://doi.org/10.1007/978-3-319-90493-1

  • Publisher: Springer Cham

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

  • Copyright Information: Springer International Publishing AG, part of Springer Nature 2018

  • Hardcover ISBN: 978-3-319-90492-4Published: 08 June 2018

  • Softcover ISBN: 978-3-030-08027-3Published: 22 December 2018

  • eBook ISBN: 978-3-319-90493-1Published: 07 June 2018

  • Series ISSN: 2194-1009

  • Series E-ISSN: 2194-1017

  • Edition Number: 1

  • Number of Pages: XI, 167

  • Number of Illustrations: 7 b/w illustrations

  • Topics: Commutative Rings and Algebras

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