1. Inclined to lay down principles as incontrovertibly true; asserting opinions in a arrogant or overbearing manner without regard for evidence or other viewpoints.
Usage: Often used critically to describe someone who is overly rigid or authoritarian in their beliefs.
2. Of, relating to, or characterized by dogma; based on or laid down as a principle or set of principles.
Usage: More formal or technical usage; often applied to religious, philosophical, or institutional doctrines.

Examples

• His dogmatical approach to teaching left no room for student questions or alternative interpretations.
• The professor's dogmatical stance on the theory prevented him from considering new evidence.
• She criticized the dogmatical nature of the institution's policies.
• A dogmatical person rarely admits when they are wrong.
• The dogmatical principles of the organization were established centuries ago and remain unchanged.
• His dogmatical insistence on tradition frustrated the younger members of the group.