amity vs peace

amity and peace both are nouns.

Word	Noun	Adjective	Verb	Adverb
amity	Yes	No	No	No
peace	Yes	No	No	No

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

amity (noun)	peace (noun)
a cordial disposition	a treaty to cease hostilities
a state of friendship and cordiality	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