On graded primary-like submodules of graded modules over graded commutative rings
Keywords:Graded primary ideals, Graded primary-like submodules, Graded prime submodules, gr-primeful property
Let G be a group with identity e. Let R be a G-graded commutative ring andM a graded R-module. In this paper, we introduce the concept of graded primary-like submodules as a new generalization of graded primary ideals and give some basic results about graded primary-like submodules of graded modules. Special attention has been paid, when graded submodules satisfies the gr-primeful property, to and extra properties of these graded submodules.
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