Quotient sets and subset-subspace analogy

DOI10.1006/aama.1999.0654zbMath0937.05003OpenAlexW1980825014MaRDI QIDQ1961905

Jun Wang

Publication date: 4 June 2000

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/aama.1999.0654

zbMATH Keywords

Boolean latticestructure theoremsubspace lattice

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) (q)-calculus and related topics (05A30)

Related Items

Nontrivial \(t\)-designs over finite fields exist for all \(t\), Subspace packings: constructions and bounds, Galois geometries and coding theory, EXISTENCE OF -ANALOGS OF STEINER SYSTEMS, A new \(q\)-analogue of the sum of cubes, Residual \(q\)-Fano planes and related structures, Intersecting antichains and shadows in linear lattices

Cites Work

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• A combinatorial interpretation of q-derangement and q-Laguerre numbers
• Mappings of subspaces into subsets
• \(q\)-analogs of the inclusion-exclusion principle and permutations with restricted position
• Subspaces, subsets, and partitions
• On the Foundations of Combinatorial Theory IV Finite Vector Spaces and Eulerian Generating Functions