Vector spaces as unions of proper subspaces

DOI10.1016/j.laa.2009.06.001zbMath1176.15002arXiv0803.2746OpenAlexW2034631490MaRDI QIDQ840668

Apoorva Khare

Publication date: 14 September 2009

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0803.2746

zbMATH Keywords

partitionsfinite codimensionvector subspaces

Mathematics Subject Classification ID

Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (14)

The Zariski covering number for vector spaces and modules ⋮ Covering modules by proper submodules ⋮ A bound on the Carathéodory number ⋮ Countably coverable rings ⋮ Conditions for matchability in groups and field extensions ⋮ The covering numbers of rings ⋮ A sum-bracket theorem for simple Lie algebras ⋮ A new infinite family of σ -elementary rings ⋮ An integral of a polynomial with multiple roots ⋮ Integrability of diagonalizable matrices and a dual Schoenberg type inequality ⋮ Periodic points of a linear transformation ⋮ The minimum size of a finite subspace partition ⋮ Covering numbers of commutative rings ⋮ On the Gleason-Kahane-Żelazko theorem for associative algebras

Cites Work

• On partitions of finite vector spaces of small dimensions
• The Frobenius number and partitions of a finite vector space
• Partitions of a vector space
• Partitions of finite vector spaces: an application of the Frobenius number in geometry
• Partitions of finite vector spaces into subspaces
• On the representation of vector spaces as a finite union of subspaces

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