monastery vs abbey

monastery and abbey both are nouns.

Word	Noun	Adjective	Verb	Adverb
monastery	Yes	No	No	No
abbey	Yes	No	No	No

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

Other hyponyms of monastery include charterhouse, friary, lamasery.

monastery (noun)	abbey (noun)
the residence of a religious community	a monastery ruled by an abbot
	a convent ruled by an abbess
	a church associated with a monastery or convent