Multigraded Algebra and Applications

1. Front Matter

   Pages i-xi

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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

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.  

• Algebra
• Multigraded Algebra
• Conference Proceedings
• Research
• Applications
• monomial Ideals
• Binomial Ideals
• Primary Decomposition
• Toric Rings
• Groebner Bases

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

  Viviana Ene

• Department of Mathematics, Duke University, Durham, USA

  Ezra Miller

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. 

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