What is a monastic superior, who, under the general of his order, has the direction of all the religious houses of the same fraternity in a given district, called a province of the order called?

provincial — (R. C. Ch.) A monastic superior, who, under the general of his order, has the direction of all the religious houses of the same fraternity in a given district, called a province of the order. (Webster's 1913.)

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