Lattices of subspaces of vector spaces with orthogonality

DOI10.1142/S0219498820500413zbMath1455.06006OpenAlexW2913268494WikidataQ114614724 ScholiaQ114614724MaRDI QIDQ4960270

Helmut Länger, Ivan Chajda

Publication date: 14 April 2020

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498820500413

zbMATH Keywords

projectionorthomodular posetorthomodular latticevector spaceorthogonalitymodular latticeclosed subspacelattice of subspacessplitting subspaceorthocomplement

Mathematics Subject Classification ID

Complemented lattices, orthocomplemented lattices and posets (06C15) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (1)

Semimodules over commutative semirings and modules over unitary commutative rings

Cites Work

• The lattice of subspaces of a vector space over a finite field
• On the lattice of closed subspaces of Hilbert spaces
• Two characterizations of real Hilbert space
• On Infinite-Dimensional Linear Spaces
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