Quotient structures in lattice effect algebras

DOI10.14736/kyb-2019-5-0879zbMath1463.06034OpenAlexW2996400545MaRDI QIDQ5219008

R. A. Borzooei, Amir Hossein Sharafi

Publication date: 6 March 2020

Published in: Kybernetika (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10338.dmlcz/147957

zbMATH Keywords

strong filterorthomodular latticeMV-algebralattice effect algebrafantastic filterimplicative filterpositive implicative filter

Mathematics Subject Classification ID

Complemented lattices, orthocomplemented lattices and posets (06C15) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Quantum logic (03G12)

Cites Work

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• Some types of filters in MTL-algebras
• Effect algebras and unsharp quantum logics.
• Material implications in lattice effect algebras
• Many-valued quantum algebras
• Congruences and ideals of effect algebras
• Generalization of blocks for \(D\)-lattices and lattice-ordered effect algebras
• Algebraic foundations of many-valued reasoning
• Logical connectives on lattice effect algebras
• A complete axiomatisation for the logic of lattice effect algebras
• Some types of filters in BL algebras
• Ideals and quotients in lattice ordered effect algebras

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