The Dedekind completion of \(d\)-algebras

DOI10.1007/s11117-004-1894-1zbMath1073.46002OpenAlexW2065565166MaRDI QIDQ1768344

Elmiloud Chil

Publication date: 15 March 2005

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-004-1894-1

zbMATH Keywords

lattice-ordered algebra\(d\)-algebrauniversal completion of vector lattices

Mathematics Subject Classification ID

Positive linear operators and order-bounded operators (47B65) Ordered rings, algebras, modules (06F25) Ordered topological linear spaces, vector lattices (46A40)

Related Items

Laterally closed lattice homomorphisms, Extensions of orthosymmetric lattice bimorphisms

Cites Work

• The space of extended orthomorphisms in a Riesz space
• On von Neumann regular f-algebras
• Averaging operators and positive contractive projections
• Unital embedding and complexifications of F-algebras
• Almost \(f\)-algebras: Structure and the Dedekind completion
• The Schwarz inequality in Archimedean \(f\)-algebras
• A relationship between two almost \(f\)-algebra products
• ON THE STRUCTURE OF ALMOST F-ALGEBRAS
• Subalgebras and Riesz Subspaces of an f -Algebra
• Almost f-algebras and d-algebras
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