AAVE vs American English

AAVE and American English both are nouns.

Word	Noun	Adjective	Verb	Adverb
AAVE	Yes	No	No	No
American English	Yes	No	No	No

As nouns, American English is a hypernym of AAVE; that is, American English is a word with a broader meaning than AAVE:

AAVE: a nonstandard form of American English characteristically spoken by African Americans in the United States
American English: the English language as used in the United States

Other hypernyms of AAVE include American, American language.

AAVE (noun)	American English (noun)
a nonstandard form of American English characteristically spoken by African Americans in the United States	the English language as used in the United States