The Collaborative International Dictionary of English v.0.48:
Dogmatically \Dog*mat"ic*al*ly\, adv. In a dogmatic manner; positively; magisterially. [1913 Webster]WordNet (r) 3.0 (2006):
dogmatically adv 1: in a narrow-minded dogmatic manner; "he is a dogmatically opinionated critic of Modern Art"