quality vs superiority

quality and superiority both are nouns.

Word	Noun	Adjective	Verb	Adverb
quality	Yes	Yes	No	No
superiority	Yes	No	No	No

As nouns, superiority is a hyponym of quality; that is, superiority is a word with a more specific, narrower meaning than quality:

Other hyponyms of quality include high quality, inferiority, low quality.

quality (noun)	superiority (noun)
an essential and distinguishing attribute of something or someone	the quality of being superior
(music) the distinctive property of a complex sound (a voice or noise or musical sound)	the quality of being at a competitive advantage
a degree or grade of excellence or worth	displaying a sense of being better than others
a characteristic property that defines the apparent individual nature of something	the state of excelling or surpassing or going beyond usual limits
high social status

quality (adjective)	superiority (adjective)
of superior grade
of high social status