The word monastery comes from the Latinmonasterium, the lifestyle of a monk, or the place where monks or other religious live, work and worship in community. The word monasterium was applied to the bishop and cathedral clergy who lived apart from the lay community, which, though in no true sense a monastery, was nevertheless often called a monasterium. Thus in English-language usage, cathedrals, which were never monasteries, developed named such as York Minster, and abbeys could likewise be termed "minster" such as Westminster Abbey. See the entry cathedral.
For a discussion of the history and development of monasteries see monasticism and abbey.
A number of distinct monastic orders developed within Roman Catholicism. Eastern Orthodoxy does not have a system of individual Orders, per se.
Augustinian canons ('The Black Canons'), which evolved from the Priests Canons who would normally work with the Bishop: now living together with him as monks under St. Augustine's rule
Dominican friars, ('The Black Friars'/'The Friars Preachers') Mendicant (preaching) order. They blend the active and the contemplative life: namely they practice contemplation, and go out to preach the fruits of that contemplation and encourage others to contemplate.
Franciscan friars ('The Grey Friars'/'Friars Minor'), another Mendicant order, they were charged with preaching to the poor.
The Society of Jesus (Jesuits) is a religious order, having vows; but, it is not a monastic order, strictly speaking, as all its members live in the world.