Notes on the Union of Weakly Primary Submodules

Let be a commutative ring with identity, and let be an -module. A proper submodule of is said to be weakly primary if 0≠∈ for ∈ and ∈, which implies that either ∈ or ⊆ for some positive integer . In this paper, we study weakly primary submodules, and we investigate the union of weakly primary submodules of -modules.