Let H.K be normal subgroup of a group G such that G=H×K
(a) If N is a normal subgroup of H. then N is normal in G
(b) If G saties the ACC or DCC on normal subgroups then so do H and K
(a) If N is a normal subgroup of H. then N is normal in G
(b) If G saties the ACC or DCC on normal subgroups then so do H and K
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