The weakly prime submodules play important roles in the study of rings and categories of modules. In the paper, some properties of weakly prime submodules are discussed. At the same time, the definition of weakly isolated submodules is given and its properties are investigated. It is proven that if M=M1⊕M2 is DUO module such that N1 is weakly isolated submodule of M1, N2 is weakly isolated submodule of M2,then N1⊕N2 is weakly isolated submodule of M. Finally, the notion of locally weakly isolated submodules is posed and its properties are presented.
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