The best replacement for monastery is convent.

The best alternatives to monastery are rated as following:
★★★★★  convent
★★★★  abbey
★  don
★  nunnery
  seminary
  friary
  ulc

Your alternative for monastery is not listed? Suggest!
Speaking about monastery, one probably shouldn't forget about monks.

Other search terms related to monastery and their ratings are:
★★★★★ monks
You have in mind a companion for monastery and it is not yet here? Propose!



Google Trends

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monastery
convent
abbey