universality vs generality

universality and generality both are nouns.

Word	Noun	Adjective	Verb	Adverb
universality	Yes	No	No	No
generality	Yes	No	No	No

As nouns, generality is a hypernym of universality; that is, generality is a word with a broader meaning than universality:

universality: the quality of being universal; existing everywhere
generality: the quality of being general or widespread or having general applicability

universality (noun)	generality (noun)
the quality of being universal; existing everywhere	the quality of being general or widespread or having general applicability
	an idea or conclusion having general application