Source : Webster's Revised Unabridged Dictionary (1913)

Abbatial \Ab*ba"tial\ ([a^]b*b[=a]"shal), a. [LL. abbatialis :
   cf. F. abbatial.]
   Belonging to an abbey; as, abbatial rights.

Source : WordNet®

abbatial
     adj : of or having to do with or belonging to an abbey or abbot,
           or abbess