ministry vs edifice

ministry and edifice both are nouns.

Word	Noun	Adjective	Verb	Adverb
ministry	Yes	No	No	No
edifice	Yes	No	No	No

As nouns, edifice is a hypernym of ministry; that is, edifice is a word with a broader meaning than ministry:

ministry: building where the business of a government ministry is transacted
edifice: a structure that has a roof and walls and stands more or less permanently in one place

Other hypernyms of ministry include building.

ministry (noun)	edifice (noun)
the work of a minister of religion	a structure that has a roof and walls and stands more or less permanently in one place
building where the business of a government ministry is transacted
a government department under the direction of a minister of state
religious ministers collectively (especially Presbyterian)