Geodesic
On the Embedding into a Ring of an Archimedean ι-Group
Canadian journal of mathematics, Tome 31 (1979) no. 1, pp. 1-8

Voir la notice de l'article provenant de la source Cambridge University Press

We shall prove the following about the “ringification” ρA of [2] and [5] of an archimedean l-group A: (a) Any “minimal ring” containing A is ρA; (b) A ↦ ρA is a reflector; (c) ρA need not be laterally complete when A is. These constitute the solutions to the problems posed in [2] by Paul Conrad. 1. The embedding into a ring. Let be the category which has objects archimedean l-groups A with distinguished positive weak unit eA , and morphisms l-group homomorphisms h: A → B with h(eA) = eB . Let be the category with objects archimedean f-rings R with identity 1R which is a weak unit, and morphisms l-ring homomorphisms h: R → S with h(l R) = 1S . 
Hager, Anthony W.; Robertson, Lewis C. On the Embedding into a Ring of an Archimedean ι-Group. Canadian journal of mathematics, Tome 31 (1979) no. 1, pp. 1-8. doi: 10.4153/CJM-1979-001-5
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