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.