  The category of mobi algebras has been introduced as a model to the unit
interval of real numbers. The notion of mobi space over a mobi algebra has been
proposed as a model for spaces with geodesic paths. In this paper we analyse
the particular case of affine mobi spaces and show that there is an isomorphism
of categories between R-modules and pointed affine mobi spaces over a mobi
algebra R as soon as R is a unitary ring in which 2 is an invertible element.
