For a pre-ordered vector space X, the quotient (X/A, [W]) with W the ru-closure of X_+, A = W ∩ (-W) is an Archimedeanization of X.
Emelyanov, Archimedean Cones in Vector Spaces
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Relative uniform convergence and Archimedean property in pre-ordered vector spaces
For a pre-ordered vector space X, the quotient (X/A, [W]) with W the ru-closure of X_+, A = W ∩ (-W) is an Archimedeanization of X.