genre vs abstract art

genre and abstract art both are nouns.

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

As nouns, abstract art is a hyponym of genre; that is, abstract art is a word with a more specific, narrower meaning than genre:

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

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