**C.F MODULES AND C.P. MODULES**

Dr. AdiI G. Naoum* and Muna A. A .Al —Aubaidy**

*Department of Mathematics, College of Science, University of Baghdad, Jsdiryah, Baghdad, IRAQ.

**Department of Mathematics, Women Education College, University of Baghdad, Jsdiryah, Baghdad, IRAQ.

ABSTRACT

Let R be a ring with 1. R is said to be a P.P ring if every principal ideal of R is projective. Endo proved that R is a P.P. ring iff Rp is an integral domain for each prima ideal P of R and the total quotient ring Rs of R is regular .He also proved that R is a semi- hereditary ring iff Rp is a valuation domain for each prim ideal P of R and the total quotient ring Rs of R is regular.

In this paper we study the analgue of these results in C.F. C.P.F.G.F. and F.G.P R-modules .