cathedral vs minster

cathedral and minster both are nouns.

Word	Noun	Adjective	Verb	Adverb
cathedral	Yes	Yes	No	No
minster	Yes	No	No	No

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

cathedral: any large and important church
minster: any of certain cathedrals and large churches; originally connected to a monastery

cathedral (noun)	minster (noun)
any large and important church	any of certain cathedrals and large churches; originally connected to a monastery
the principal Christian church building of a bishop's diocese

cathedral (adjective)	minster (adjective)
relating to or containing or issuing from a bishop's office or throne