Affine mobi spaces
Rings and Algebras
2021-09-15 v1
Abstract
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.
Cite
@article{arxiv.2109.06252,
title = {Affine mobi spaces},
author = {J. P. Fatelo and N. Martins-Ferreira},
journal= {arXiv preprint arXiv:2109.06252},
year = {2021}
}
Comments
19 pages. arXiv admin note: text overlap with arXiv:2001.03441, arXiv:2102.02692