Orthosystems of submodules of a module

DOI10.1080/00927872.2022.2164008OpenAlexW4315796318MaRDI QIDQ5887168

Milan Matoušek, Pavel Pták

Publication date: 17 April 2023

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2022.2164008

zbMATH Keywords

modular latticeaxiomatizable classorthospacehilbertian ortholatticemodule with orthogonalityortho-Arguesian law

Mathematics Subject Classification ID

Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Quantum logic (03G12) General module theory in associative algebras (16D10) Galois correspondences, closure operators (in relation to ordered sets) (06A15) Abstract elementary classes and related topics (03C48)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Orthomodular structures as quantum logics. Transl. from the Slovak
• Model theory
• A finitely additive state criterion for the completeness of inner product spaces
• Orthogonality spaces arising from infinite-dimensional complex Hilbert spaces
• Maximal perpendicularity in certain abelian groups
• On geometric representations of modular ortholattices
• Equations holding in Hilbert lattices
• Orthomodular lattices admitting no states
• Lattice properties of subspace families in an inner product space
• SOME EQUATIONS RELATED TO STATES ON ORTHOMODULAR LATTICES
• Orthomodularity is not elementary
• A Completeness Criterion for Inner Product Spaces
• On the Representation of Lattices by Modules
• Orthogonality relations on Abelian groups
• Inner Product Spaces
• A remark on Piron's paper
• Rings with orthogonality relations
• Quantum measure theory

This page was built for publication: Orthosystems of submodules of a module