Given be a group with identity , and graded ring type . By the graded ring can be formed graded module. A module is called to be a graded module over graded ring type if there is family of subgroups of , say , for all such that and . The concepts of maximal submodule can also be defined in graded module. The graded proper submodule of is said to be a graded maximal if there is no graded other submodule that contains properly except itself. Not only usual module can be decomposed, but also graded module can be decomposed. This research discusses about graded modules with decomposed graded maximal submodules. By the decomposition, we obtain some properties that relate with graded maximal submodule, graded simple module, graded module homomorphism, graded torsion module, and graded direct summand.
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