So many mysteries include multiple murderers, but I wouldn't call them serial killers. The first killing usually has a specific, understandable motive, and the subsequent killings tend to be to cover up the first crime. Plus the killer often employs different methods for each killing.
I think the term "serial killer" more properly refers to someone who kills a series of strangers (or acquaintances cultivated specifically to be killed) according to some pattern that makes sense to the killer.
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