academy vs establishment

academy and establishment both are nouns.

Word	Noun	Adjective	Verb	Adverb
academy	Yes	No	No	No
establishment	Yes	No	No	No

As nouns, establishment is a hypernym of academy; that is, establishment is a word with a broader meaning than academy:

academy: a learned establishment for the advancement of knowledge
establishment: a public or private structure (business or governmental or educational) including buildings and equipment for business or residence

As nouns, establishment is a hypernym of academy; that is, establishment is a word with a broader meaning than academy:

Other hypernyms of academy include institution.

academy (noun)	establishment (noun)
a learned establishment for the advancement of knowledge	the act of forming or establishing something
a secondary school (usually private)	a public or private structure (business or governmental or educational) including buildings and equipment for business or residence
a school for special training	the cognitive process of establishing a valid proof
an institution for the advancement of art or science or literature	an organization founded and united for a specific purpose
	any large organization
	the persons (or committees or departments etc.) who make up a body for the purpose of administering something
	(ecology) the process by which a plant or animal becomes established in a new habitat