Source : Webster's Revised Unabridged Dictionary (1913)

Archbishopric \Arch`bish"op*ric\, n. [AS. arcebiscopr[=i]ce. See
   {-ric}.]
   The jurisdiction or office of an archbishop; the see or
   province over which archbishop exercises archiepiscopal
   authority.

Source : WordNet®

archbishopric
     n : the territorial jurisdiction of an archbishop