Adjoining an Identity to a Reduced Archimedeanf-Ring

DOI10.1080/00927870601168947zbMath1118.06011OpenAlexW1983930550MaRDI QIDQ3446647

Anthony W. Hager, Donald G. Johnson

Publication date: 19 June 2007

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870601168947

zbMATH Keywords

reflective subcategoryabsolute extensorsextended real-valued functioncategory of reduced Archimedean \(f\)-rings

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Real-valued functions in general topology (54C30) Ordered rings, algebras, modules (06F25)

Related Items (3)

Adjoining an identity to a reduced Archimedean \(f\)-ring. II: Algebras ⋮ Some comments and examples on generation of (hyper-)Archimedean \(\ell\)-groups and \(f\)-rings ⋮ Unitization of a lattice ordered ring with a truncation

Cites Work

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• Lattice ordered rings and function rings
• Singular Archimedean lattice-ordered groups
• On a Representation Theory for a Class of Archimedean Lattice-Ordered Rings
• On the Embedding into a Ring of an Archimedean ι-Group
• Unique Representation of Archimedean Lattice Groups and Normal Archimedean Lattice Rings

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