The direct sum of \(q\)-matroids

DOI10.1007/s10801-023-01283-xarXiv2109.13637OpenAlexW4391898429MaRDI QIDQ6192569

Relinde P. M. J. Jurrius, Michela Ceria

Publication date: 11 March 2024

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.13637

zbMATH Keywords

\(q\)-analoguedirect sum\(q\)-matroid

Mathematics Subject Classification ID

Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.) (52B40) (q)-calculus and related topics (05A30) Combinatorial aspects of matroids and geometric lattices (05B35)

Cites Work

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• Defining the \(q\)-analogue of a matroid
• Codes with the rank metric and matroids
• Constructions of new \(q\)-cryptomorphisms
• \(q\)-polymatroids and their relation to rank-metric codes
• Shellability and homology of \(q\)-complexes and \(q\)-matroids
• Rank-metric codes and \(q\)-polymatroids
• A polymatroid approach to generalized weights of rank metric codes
• Teoria di Galois, fibrazioni proiettive e geometrie non desarguesiane
• Independent spaces of \(q\)-polymatroids
• Some matroids related to sum-rank metric codes
• Weighted subspace designs from \(q\)-polymatroids
• Coproducts in categories of \(q\)-matroids

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