Copyright © 2014 I. M-I. Hadi and Th. Y. Ghawi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. A module M is said to have the closed intersection property (briefly CIP) if, the intersection of any two closed submodules of M is again closed [6]. In this paper we present the dual of the CIP, namely, M has the closed sum property (briefly CSP) for which the sum of any two closed submodules, so the submodule generated by their union, is a closed submodule, too. We investigate the concept of CSP. Basic properties and some relations of these modules are given.
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