shut vs keep

shut is not a noun while keep is a noun.

Word	Noun	Adjective	Verb	Adverb
shut	No	Yes	Yes	No
keep	Yes	No	Yes	No

As verbs, keep is a hypernym of shut; that is, keep is a word with a broader meaning than shut:

shut: prevent from entering; shut out
keep: stop (someone or something) from doing something or being in a certain state

Other hypernyms of shut include prevent.

shut (noun)	keep (noun)
	the main tower within the walls of a medieval castle or fortress
	a cell in a jail or prison
	the financial means whereby one lives

shut (adjective)	keep (adjective)
not open
used especially of mouth or eyes

shut (verb)	keep (verb)
move so that an opening or passage is obstructed; make shut	prevent (food) from rotting
become closed	prevent the action or expression of
prevent from entering; shut out	stick to correctly or closely
	maintain by writing regular records
	supply with necessities and support
	hold and prevent from leaving
	retain possession of
	look after; be the keeper of; have charge of
	retain rights to
	maintain for use and service
	have as a supply
	store or keep customarily
	stop (someone or something) from doing something or being in a certain state
	allow to remain in a place or position or maintain a property or feature
	conform one's action or practice to
	behave as expected during of holidays or rites
	cause to continue in a certain state, position, or activity
	supply with room and board
	maintain in safety from injury, harm, or danger
	fail to spoil or rot
	continue a certain state, condition, or activity
	to rear