Generalized \(\mathbb{XOR}\) operation and the categorical equivalence of the abbott algebras and quantum logics

DOI10.1007/s10773-023-05355-3OpenAlexW4368365020MaRDI QIDQ6174272

Dominika Burešová

Publication date: 14 July 2023

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-023-05355-3

zbMATH Keywords

Boolean algebraorthomodular latticecategorical equivalencesymmetric differenceAbbott orthoimplication algebra

Mathematics Subject Classification ID

Algebraic logic (03Gxx) Modular lattices, complemented lattices (06Cxx)

Cites Work

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• Concrete quantum logics and \(\Delta\)-logics, states and \(\Delta\)-states
• Orthocomplemented lattices with a symmetric difference
• Orthoimplication algebras
• On set-representable orthocomplemented difference lattices
• Quantum logics that are symmetric-difference-closed
• Orthomodular lattices admitting no states
• States on systems of sets that are closed under symmetric difference
• Associativity of operations on orthomodular lattices
• A symmetric-difference-closed orthomodular lattice that is stateless

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