Displaying similar documents to “Functorial approximation to the lateral completion in archimedean lattice-ordered groups with weak unit”

Completion and closure

David Holgate (2000)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

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Some comments and examples on generation of (hyper-)archimedean ℓ -groups and f -rings

A. W. Hager, D. G. Johnson (2010)

Annales de la faculté des sciences de Toulouse Mathématiques

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This paper systematizes some theory concerning the generation of ℓ -groups and reduced f -rings from substructures. We are particularly concerned with archimedean and hyperarchimedean groups and rings. We discuss the process of adjoining a weak order unit to an ℓ -group, or an identity to an f -ring and find significant contrasts between these cases. In ℓ -groups, hyperarchimedeanness and similar properties fail to pass from generating structures to the structures that they generate, as illustrated...