Pasting of lattice-ordered effect algebras

DOI10.1016/j.fss.2014.03.015zbMath1335.03068OpenAlexW2004975945MaRDI QIDQ277567

Ai-Li Yang, Yong-Ming Li, Yong-Jian Xie

Publication date: 2 May 2016

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.fss.2014.03.015

zbMATH Keywords

quantum logicMV-effect algebraGreechie diagramlattice-ordered effect algebrapasting

Mathematics Subject Classification ID

MV-algebras (06D35) Quantum logic (03G12)

Cites Work

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• Astroids and pastings
• The pasting constructions of lattice ordered effect algebras
• Existence of states on quantum structures
• Isomorphism theorems on generalized effect algebras based on atoms
• A characterization of state spaces of orthomodular lattices
• States on effect algebras that have the \(\phi\)-symmetry property
• There are orthomodular lattices without non-trivial group-valued states: A computer-based construction
• MV-algebra pasting
• Generalization of blocks for \(D\)-lattices and lattice-ordered effect algebras
• D-homomorphisms and atomic \(\sigma \)-complete Boolean D-posets
• Pastings of MV-effect algebras
• Algebraic foundations of many-valued reasoning
• Smearings of states defined on sharp elements onto effect algebras
• Continuous lattice effect algebras admitting order-continuous states
• Boolean algebras R-generated by MV-effect algebras
• States on orthoalgebras
• The center of an effect algebra
• Polar decomposition in e-rings
• Orthomodular lattices admitting no states
• The pasting constructions for effect algebras
• The Pasting Constructions for Orthomodular Posets
• An Orthomodular Lattice Admitting No Group-Valued Measure
• Graphic representation of MV-algebra pastings

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