The aim of my talk is to investigate the infinite case of the dual
Goldie dimension of the right R-module R_R. First we analyze which
properties of the finite Goldie dimension of a modular lattice still
hold in the infinite case. Then we restrict our attention to the case
of the dual Goldie dimension of R_R, showing how we can look only at
maximal right ideals, instead of the whole lattice of right ideals. In
the end, we study two relevant examples, computing their dual Goldie
dimension and showing the difficulties that arise in passing from the
finite case to the infinite one.