On ring-like structures of lattice-ordered numerical events

DOI10.1142/S1793557121501862zbMath1492.81029arXiv2008.04961OpenAlexW3138071367MaRDI QIDQ5013431

Dietmar Dorninger, Helmut Länger

Publication date: 30 November 2021

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.04961

zbMATH Keywords

orthomodular latticequantum logicBoolean ringnumerical eventring-like structure

Mathematics Subject Classification ID

Complemented lattices, orthocomplemented lattices and posets (06C15) Quantum logic (03G12) Ring-theoretic properties of Boolean algebras (06E20) Quantum state spaces, operational and probabilistic concepts (81P16)

Cites Work

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• Almost Boolean orthomodular posets
• Lattice properties of ring-like quantum logics
• On a cryptographical characterization of classical and nonclassical event systems
• On algebras of multidimensional probabilities
• On a characterization of classical and nonclassical probabilities
• λ NOTE ON DISTRIBUTIVITY IN ORTHOPOSETS
• On the characterization of probabilities: A generalization of Bell’s inequalities
• Ring-like structures with unique symmetric difference related to quantum logic

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