The Collaborative International Dictionary of English v.0.48:
Rectorate \Rec"tor*ate\ (-?t), n. [LL. rectoratus: cf. F. rectorat.] The office, rank, or station of a rector; rectorship. [1913 Webster]WordNet (r) 3.0 (2006):
rectorate n 1: the office or station of a rector [syn: rectorship, rectorate]