Products of polymatroids with the strong exchange property

DOI10.1016/j.jpaa.2021.106967OpenAlexW3217081733MaRDI QIDQ2069818

Lisa Nicklasson

Publication date: 21 January 2022

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.03081

zbMATH Keywords

toric idealpolymatroidsymmetric exchange relationstransversal polymatroid

Mathematics Subject Classification ID

Quadratic and Koszul algebras (16S37) Commutative rings defined by binomial ideals, toric rings, etc. (13F65) Theory of modules and ideals in commutative rings described by combinatorial properties (13C70)

Uses Software

• Macaulay2

Cites Work

• Toric ideals of lattice path matroids and polymatroids
• Ideals of fiber type and polymatroids
• Linear spaces, transversal polymatroids and ASL domains
• The toric ideal of a graphic matroid is generated by quadrics
• A unique exchange property for bases
• On graded rings. I
• Resolutions by mapping cones
• Castelnuovo-Mumford regularity of products of ideals
• Discrete polymatroids
• Basis-exchange properties of sparse paving matroids
• On the Betti numbers and Rees algebras of ideals with linear powers
• The toric ideal of a matroid of rank 3 is generated by quadrics
• Discrete polymatroids satisfying a stronger symmetric exchange property
• On the toric ideal of a matroid
• Comments on bases in dependence structures