A geometric approach to free left modules over right Bezout domains

Free left modules over right Bezout domains are characterized by a set of geometric axioms resembling those of U. Brehm, where results of this kind have been obtained for torsion-free left modules over left Ore domains. Discourses by S. E. Schmidt and the present author have come to similar results for other classes of rings and modules.The author would like to thank Mrs Juliane Plachta, Mrs Heidrun Wenzel and the referee for helpful comments in language and style.