We characterize V-modules by relative (quasi-) continuity of left R-modules in this paper. It is shown that a left R-module M is a V-module if and only if every finitely cogenerated left R-module in σ[M] is ＆ -(quasi-) continuous if and only if every left R-module in σ[M] is ＆- is the set of all simple left R-modules. We also show that a left R-module M is a locally noetherian V- module if and only if every semisimple left R-module (in σ [M] is M-injective if and only if every essential extension in σ [M] of every semisimple left R-module in σ[M] is ＆~2-quasi-) continuous, where ＆~2 is the set of all set of all semisimple left R-modules.
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