equivalence vs egality

equivalence and egality both are nouns.

Word	Noun	Adjective	Verb	Adverb
equivalence	Yes	No	No	No
egality	Yes	No	No	No

As nouns, egality is a hyponym of equivalence; that is, egality is a word with a more specific, narrower meaning than equivalence:

equivalence: a state of being essentially equal or equivalent; equally balanced
egality: social and political equality

Other hyponyms of equivalence include egalite, tie.

equivalence (noun)	egality (noun)
qualities that are comparable	social and political equality
essential equality and interchangeability
a state of being essentially equal or equivalent; equally balanced