: This thesis is based on article on the Goldie dimension of rings and modules by Hai Q. Dinh, edro A. Guil Asensio, Sergio R. L?pez-Permouth (2006). In this thesis, a bound for the Goldie dimension of hereditary modules is found in terms of the cardinality of the generating sets of their quasi-injective hulls. Several consequences are deduced. In particular, it is shown that every finitely generated hereditary module with countably generated quasi-injective hull is noetherian. It is also shown that every right hereditary ring with finitely generated injective hull is right artinian, thus a long standing open question posed by Dung, G?mez Pardo and Wisbauer is answered.