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⊕-Supplemented Semimodules, Ahmed H. Alwan
⊕-Supplemented Semimodules, Ahmed H. Alwan
Al-Bahir Journal for Engineering and Pure Sciences
In this paper, ⊕-Supplemented Semimodules are defined as generalizations of ⊕-Supplemented modules. Let S be a semiring. An S-semimodule A is named a ⊕-supplemented semimodule, if every subsemimodule of A has a supplement which is a direct summand of A. In this paper, we investigate some properties of ⊕-supplemented semimodules besides generalize certain results on ⊕-supplemented modules to semimodules.