A ring R is right FPF if each faithful finitely generated right R module is a generator of MOD- R. The purpose of this paper is to answer several questions posed by C. Faith and S. Page in their monograph (“FPF Ring Theory: Faithful modules and generators of MOD- R,” London Math. Soc. Lecture Note Series, Cambridge Univ. Press, 1984), and then to apply these results to semi-perfect left or right Noetherian right FPF rings. Thus, a semi-perfect ring R is right FPF iff (i) R possesses a semi-perfect, right self-injective classical (left and right) ring of quotients, (ii) faithful finitely generated right ideals of R are generators of MOD- R, and (iii) the basic ring of R is right strongly bounded. Furthermore, the set of left regular elements of R is the set of right regular elements of R is the set of elements regular modulo Z r ( R). The semi-perfect ring R is an injective cogenerator of MOD- R iff R is right FPF and right Kasch. Chain conditions on R are also considered.