In the Catholic religion they are called Monasteries.
That would be an ashram. See http://en.wikipedia.org/wiki/Ashram
monasteries
Monk
Missions
Convent, Cloister, or Nunnery
Religious is about someone and were they came from.
Monks were religious men who lived in isolated communities. They served as scribes for the surrounding city, they also ran schools.
Muslim men typically wear a cap called a "kufi" or a "turban" as part of their religious attire.
Yes.
A monastery is a residence for monks, usually men, who live in seclusion to dedicate themselves to religious practices. On the other hand, a convent is a residence for nuns, usually women, who also live in seclusion for religious purposes. Monasteries are typically associated with male religious communities, while convents are typically associated with female religious communities.
church men who separated themselves from the world
Monastic communities consist of groups of Christian men who have given up all their private possessions and lived very simply, devoting their lives to worship. These men are called monks. Female monastic communities are comprised of nuns.