scientific article

zbMath0621.06014MaRDI QIDQ3757950

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Publication date: 1987

Full work available at URL: http://www.numdam.org/item?id=CM_1987__62_3_329_0

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zbMATH Keywords

injective hullArchimedean Riesz spacelaterally completeself-injectiveextended orthomorphismweak orthomorphismorder dense idealsemiprime Archimedean f-algebravon Neumann regular f-algebra

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Linear operators on ordered spaces (47B60) Ordered rings, algebras, modules (06F25) Ordered topological linear spaces, vector lattices (46A40)

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Composition operators on \(f\)-algebras, Self-injectivity of M(X,A) versus M(X,A) modulo its socle, On order bounded disjointness preserving operators, σ-Weak Orthomorphisms, Fraction-dense algebras and spaces, Order-bounded operators in vector lattices and in spaces of measurable functions, Functorial rings of quotients. III: The maximum in Archimedean \(f\)-rings, On von Neumann regular f-algebras

Cites Work

• Extended orthomorphisms on Archimedean Riesz spaces
• The space of extended orthomorphisms in a Riesz space
• The order bidual of lattice ordered algebras
• Unital embedding and complexifications of F-algebras
• Archimedean quotient Riesz spaces
• The ring of polar preserving endomorphisms of an abelian lattice-ordered group
• Ideal Theory in f-Algebras
• A New Proof of the Lattice Structure of Orthomorphisms
• Lateral and Dedekind Completion of Archimedean Lattice Groups
• Unique Representation of Archimedean Lattice Groups and Normal Archimedean Lattice Rings
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