cease-fire vs peace

cease-fire and peace both are nouns.

Word	Noun	Adjective	Verb	Adverb
cease-fire	Yes	No	No	No
peace	Yes	No	No	No

As nouns, peace is a hypernym of cease-fire; that is, peace is a word with a broader meaning than cease-fire:

cease-fire: a state of peace agreed to between opponents so they can discuss peace terms
peace: the state prevailing during the absence of war

cease-fire (noun)	peace (noun)
a state of peace agreed to between opponents so they can discuss peace terms	a treaty to cease hostilities
	the absence of mental stress or anxiety
	the state prevailing during the absence of war
	harmonious relations; freedom from disputes
	the general security of public places