equality vs sameness

equality and sameness both are nouns.

Word	Noun	Adjective	Verb	Adverb
equality	Yes	No	No	No
sameness	Yes	No	No	No

As nouns, sameness is a hypernym of equality; that is, sameness is a word with a broader meaning than equality:

equality: the quality of being the same in quantity or measure or value or status
sameness: the quality of being alike

equality (noun)	sameness (noun)
the quality of being the same in quantity or measure or value or status	the quality of being alike
a state of being essentially equal or equivalent; equally balanced	the quality of wearisome constancy, routine, and lack of variety