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In this paper, by taking the class of all C3 (or D3) right R-modules for general envelopes and covers, we characterize a semisimple artinian ring (or a right perfect ring) via D3-covers (or D3-envelopes) and a right V-ring (or a right noetherian V-ring) via C3-covers (or C3-envelopes). By using isosimple-projective preenvelope, we obtained that if R is a semiperfect right FGF ring (or left coherent ring), then every isosimple right R-module has a projective cover. Moreover, we also characterize semihereditary serial rings (respectively, hereditary artinian serial rings) in terms of epic flat (respectively, projective) envelopes.