L-algebras and topology

DOI10.1142/S0219498823500342OpenAlexW3217383819MaRDI QIDQ5879275

Wolfgang Rump

Publication date: 28 February 2023

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498823500342

zbMATH Keywords

localeprime ideal\(L\)-algebraself-similar closureright quantale

Mathematics Subject Classification ID

Congruence modularity, congruence distributivity (08B10) Ordered semigroups and monoids (06F05) Quantales (06F07) Frames and locales, pointfree topology, Stone duality (18F70)

Cites Work

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• Effect algebras and unsharp quantum logics.
• Von Neumann algebras, \(L\)-algebras, Baer*-monoids, and Garside groups
• \(L\)-algebras, self-similarity, and \(l\)-groups
• A general Glivenko theorem
• Interpretation of AF \(C^*\)-algebras in Łukasiewicz sentential calculus
• Density and closure in implicative semi-lattices
• Sharp and unsharp quantum effects
• Generalization of blocks for \(D\)-lattices and lattice-ordered effect algebras
• A right-invariant lattice-order on groups of paraunitary matrices
• Generalized MV-algebras
• A decomposition theorem for square-free unitary solutions of the quantum Yang-Baxter equation
• Set-theoretical solutions to the quantum Yang-Baxter equation
• L-algebras with duality and the structure group of a set-theoretic solution to the Yang-Baxter equation
• \(L\)-effect algebras
• Foundations of Garside theory
• Right \(l\)-groups, geometric Garside groups, and solutions of the quantum Yang-Baxter equation
• Set-theoretic solutions of the Yang-Baxter equation, RC-calculus, and Garside germs.
• Rechtskomplementäre Halbgruppen, Axiome, Polynome, Kongruenzen
• Les immeubles des groupes de tresses généralises
• Artin-Gruppen und Coxeter-Gruppen
• Implication connectives in orthomodular lattices
• Theory of braids
• The algebra of topology
• On closed elements in closure algebras
• Groupes de Garside
• Algebraic Analysis of Many Valued Logics
• SEMIDIRECT PRODUCTS IN ALGEBRAIC LOGIC AND SOLUTIONS OF THE QUANTUM YANG–BAXTER EQUATION
• Brouwerian Semilattices
• An Orthomodular Lattice Admitting No Group-Valued Measure
• Pseudo MV-algebras are intervals in ℓ-groups
• THE BRAID GROUP AND OTHER GROUPS
• Sharp elements in effect algebras

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