Categories of orthogonality spaces

DOI10.1016/j.jpaa.2021.106859zbMath1499.81009arXiv2003.03313OpenAlexW3196628277MaRDI QIDQ2229976

Jan Paseka, Thomas Vetterlein

Publication date: 17 September 2021

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.03313

zbMATH Keywords

undirected graphsBoolean subalgebrasgeneralised semilinear maplinear orthogonality spacesorthoclosed subsetsorthogonality spaces

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Complemented lattices, orthocomplemented lattices and posets (06C15) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10)

Related Items (6)

Transitivity and homogeneity of orthosets and inner-product spaces over subfields of \(\mathbb{R}\) ⋮ Linear orthosets and orthogeometries ⋮ Finitary prelinear and linear orthosets ⋮ Orthogonality spaces associated with posets ⋮ Orthogonality preserving transformations of Hilbert Grassmannians ⋮ Quantum monadic algebras

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