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Combinatorial Methods in Topology and Algebra

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Cover of 'Combinatorial Methods in Topology and Algebra'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 Extremal Graph Theory and Face Numbers of Flag Triangulations of Manifolds
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    Chapter 3 Combinatorial Stratifications and Minimality of Two-Arrangements
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    Chapter 4 Random Triangular Groups
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    Chapter 5 Generalized Involution Models of Projective Reflection Groups
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    Chapter 6 Universal Gröbner Bases for Maximal Minors of Matrices of Linear Forms
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    Chapter 7 Torsion in the Homology of Milnor Fibers of Hyperplane Arrangements
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    Chapter 8 Decompositions of Betti Diagrams of Powers of Monomial Ideals: A Stability Conjecture
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    Chapter 9 Matroids Over a Ring
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    Chapter 10 A Minimal Irreducible Triangulation of $$\mathbb{S}^{3}$$
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    Chapter 11 Tropical Oriented Matroids
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    Chapter 12 Rota’s Conjecture, the Missing Axiom, and Prime Cycles in Toric Varieties
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    Chapter 13 A Combinatorial Classification of Buchsbaum Simplicial Posets
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    Chapter 14 Dimensional Differences Between Faces of the Cones of Nonnegative Polynomials and Sums of Squares
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    Chapter 15 On a Conjecture of Holtz and Ron Concerning Interpolation, Box Splines, and Zonotopes
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    Chapter 16 Root Polytopes of Crystallographic Root Systems
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    Chapter 17 On Product Formulas for Volumes of Flow Polytopes
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    Chapter 18 On the Topology of the Cambrian Semilattices
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    Chapter 19 cd-Index for CW-Posets
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    Chapter 20 Bipartite Rigidity
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    Chapter 21 Balanced Manifolds and Pseudomanifolds
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    Chapter 22 Some Combinatorial Constructions and Relations with Artin Groups
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    Chapter 23 Deterministic Abelian Sandpile and Square-Triangle Tilings
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    Chapter 24 A Special Feature of Quadratic Monomial Ideals
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    Chapter 25 Resonant Bands, Local Systems and Milnor Fibers of Real Line Arrangements
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    Chapter 26 On Highly Regular Embeddings
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    Chapter 27 Positive Sum Systems
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    Chapter 28 The S n +1 Action on Spherical Models and Supermaximal Models of Tipe A n −1
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    Chapter 29 h -Vectors of Matroid Complexes
Attention for Chapter 9: Matroids Over a Ring
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Chapter title
Matroids Over a Ring
Chapter number 9
Book title
Combinatorial Methods in Topology and Algebra
Published by
Springer, Cham, January 2015
DOI 10.1007/978-3-319-20155-9_9
Book ISBNs
978-3-31-920154-2, 978-3-31-920155-9
Authors

Alex Fink, Luca Moci, Fink, Alex, Moci, Luca

Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 7 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 7 100%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 2 29%
Researcher 2 29%
Student > Master 1 14%
Professor > Associate Professor 1 14%
Student > Postgraduate 1 14%
Other 0 0%
Readers by discipline Count As %
Mathematics 6 86%
Business, Management and Accounting 1 14%