Hopf algebras for matroids over hyperfields

DOI10.1016/j.jalgebra.2020.02.042zbMath1439.05045arXiv1712.08903OpenAlexW3016485103MaRDI QIDQ2178535

Jaiung Jun, Matthew Szczesny, Chris Eppolito

Publication date: 11 May 2020

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.08903

zbMATH Keywords

minorHopf algebramatroidhyperfielddirect summatroids over hyperfields

Mathematics Subject Classification ID

Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.) (52B40) Combinatorial aspects of matroids and geometric lattices (05B35) Hopf algebras and their applications (16T05) Combinatorial aspects of groups and algebras (05E16)

Related Items (2)

On the Hopf algebra of multi-complexes ⋮ Proto-exact categories of matroids, Hall algebras, and \(K\)-theory

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The beginnings of the theory of Hopf algebras.
• Incidence Hopf algebras
• Universal Tutte characters via combinatorial coalgebras
• Hyperfield Grassmannians
• Hopf algebras and Tutte polynomials
• Matroids over partial hyperstructures
• Partial fields and matroid representation
• Foundations for a theory of complex matroids
• Čech cohomology of semiring schemes
• Murphy's law in algebraic geometry: Badly-behaved deformation spaces
• Free Hopf algebras generated by coalgebras

This page was built for publication: Hopf algebras for matroids over hyperfields