bigamy

noun2

1. •
   The state of having two (legal or illegal) spouses simultaneously.

   • This is a peculiar privilege of the clergy, that sentence of death can never be passed upon them for any number of manslaughters, bigamies, simple larcenies, or other clergyable offences; [...] — 1807
2. •
   (historical) A second marriage after the death of a spouse.