abbey - a monastery ruled by an abbot

cubicle, cell - small room is which a monk or nun lives

charterhouse - a Carthusian monastery

friary - a monastery of friars

lamasery - a monastery for lamas

minster - any of certain cathedrals and large churches; originally connected to a monastery

cloister, religious residence - residence that is a place of religious seclusion (such as a monastery)