This paper aims to introduce a new class of submodules, called (m, n)-semiprime submodule, which is a generalization of semiprime submodule. Let M be a unital A-module and m, n ∈ N. Then a proper submodule P of M is said to be an (m, n)-semiprime submodule if whenever amx ∈ P for some a ∈ A, x ∈ M, then anx ∈ P. In addition to giving many characterizations and properties of this kind of submodules, we also use them to characterize von Neumann regular modules.
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