1 Table of Contents: “...Part I Gröbner bases: Monomial Ideals -- A short introduction to Gröbner bases -- Monomial orders...”

2 Table of Contents: “...-Introduction -- 1. Fundamental Properties of Monomial Ideals . -2. Operations on Monomial Ideals...”

3 Table of Contents: “... and cover ideals -- Edge ideals using Macaulay2 -- Local cohomology modules supported on monomial ideals...”

4 Subjects: “...monomial ideal...”

5 Table of Contents: “...Monomial Ideals -- Squarefree monomial ideals -- Borel-fixed monomial ideals -- Three-dimensional...”

6 Table of Contents: “... Two Flats in Fermat-type Arrangements -- Olteanu, O: The Monomial Ideal of Independent Sets Associated...”

7 Table of Contents: “... of the Tor Algebra Structure for Trivariate Monomial Ideals -- Interactions Between Linear Algebra...”

8 Table of Contents: “...) -- Simplicial resolutions for the second power of square-free monomial ideals (S. Faridi) -- Cohen-Macaulay...”

9 Table of Contents: “... Computations -- Monomial Ideals -- From Enumerative Geometry to Solving Systems of Polynomial Equations...”

10 Table of Contents: “... of monomial ideals -- 11 Matroids over a ring -- 12 A Minimal Irreducible Triangulation of S3 --  13 Tropical...”

11 Table of Contents: “... Lattice Structures for Plane Branches -- Four Generated, Squarefree, Monomial Ideals -- The Connected...”

12 Table of Contents: “... resolutions of monomial ideals -- Designs arising from symplectic geometry -- Distance — transitive graphs...”

13 Table of Contents: “... -- Symbolic powers of monomial ideals and Cohen-Macaulay vertex-weighted digraphs -- Asymptotics of reduced...”

14 Table of Contents: “... for Hilbert-Poincaré series, multiplicity and dimension of monomial ideals -- An efficient algorithm...”

15 Table of Contents: “... numbers p-adic arithmetic: A parallel approach -- Monomial ideals, group algebras and error correcting...”

16 Table of Contents: “...Depth of powers of squarefree monomial ideals (L. Fouli, H.T. Hà, S. Morey) -- A note...”

17 Table of Contents: “... Division -- Janet-Like Gröbner Bases -- Circulant Digraphs and Monomial Ideals -- Algebraic Topological...”

18 Table of Contents: “... Orientations -- 9B Complexity II -- The Monomial Ideal Membership Problem and Polynomial Identity Testing...”

19 Table of Contents: “... Capacity -- Monomial Ideals and Planar Graphs -- A Fast Program Generator of Fast Fourier Transforms...”

20 Table of Contents: “... the monomials -- 2.2. Monomial ideals and leitideals -- 2.3. The Division Theorem -- 2.4. Division with respect...”