peace vs cease-fire

peace and cease-fire both are nouns.

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

As nouns, cease-fire is a hyponym of peace; that is, cease-fire is a word with a more specific, narrower meaning than peace:

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

Other hyponyms of peace include amity, armistice, truce, conciliation, collective security, Pax Romana.

peace (noun)	cease-fire (noun)
a treaty to cease hostilities	a state of peace agreed to between opponents so they can discuss peace terms
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