Sur les endomorphismes conservant les polaires d'un groupe réticulé archimédien

DOI10.24033/bsmf.1690zbMath0215.34203OpenAlexW2584172466MaRDI QIDQ5618406

Klaus Keimel, Alain Bigard

Publication date: 1969

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1969__97__381_0

Mathematics Subject Classification ID

Ordered groups (06F15)

Related Items

Lattice-ordered fields ⋮ A relationship between the space of orthomorphisms and the centre of a vector lattice revisited ⋮ Characterisations of semi-prime Archimedean f-algebras ⋮ Adjoining an identity to a reduced Archimedean \(f\)-ring. II: Algebras ⋮ Unnamed Item ⋮ When the range of every orthomorphism is an order ideal ⋮ Unital embedding and complexifications of F-algebras ⋮ Finitely Valued f-Modules, An Addendum ⋮ Examples of orthomorphisms ⋮ A generalization of a theorem by Bigard-Keimel and Conrad-Diem ⋮ Orthoproducts and \(f\)-representations of archimedean \(\ell\)-groups. ⋮ On von Neumann regular f-algebras

Cites Work

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• Complete distributivity in lattice-ordered groups
• On a Representation Theory for a Class of Archimedean Lattice-Ordered Rings
• Unique Representation of Archimedean Lattice Groups and Normal Archimedean Lattice Rings
• An Introduction to the Theory of Centralizers
• Multiplication in Vector Lattices
• A General Theory of Spectra

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