management vs establishment

management and establishment both are nouns.

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

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

management: those in charge of running a business
establishment: the persons (or committees or departments etc.) who make up a body for the purpose of administering something

Other hypernyms of management include administration, brass, governance, governing body, organisation, organization.

management (noun)	establishment (noun)
the act of managing something	the act of forming or establishing something
those in charge of running a business	a public or private structure (business or governmental or educational) including buildings and equipment for business or residence
	the cognitive process of establishing a valid proof
	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