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An example of a ring R and a multiplication R-module M is given such that every prime submodule of M is cyclic but M is not. Some sufficient conditions for a multiplication module to be cyclic have also been given. Mathematics Subject Classification: 13C13, 13C99

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In this paper, we have studied prime submodules in distributive modules, prime avoidance theorem for multiplication and distributive modules and the question when a multiplication module becomes flat. Some examples are also given related to some questions for projective, flat and multiplication modules.