abstract art vs genre

abstract art and genre both are nouns.

Word	Noun	Adjective	Verb	Adverb
abstract art	Yes	No	No	No
genre	Yes	No	No	No

As nouns, genre is a hypernym of abstract art; that is, genre is a word with a broader meaning than abstract art:

abstract art: an abstract genre of art; artistic content depends on internal form rather than pictorial representation
genre: a class of art (or artistic endeavor) having a characteristic form or technique

abstract art (noun)	genre (noun)
an abstract genre of art; artistic content depends on internal form rather than pictorial representation	a class of art (or artistic endeavor) having a characteristic form or technique
	a kind of literary or artistic work
	a style of expressing yourself in writing