Dedicated

When a minipet is displayed in someone's Hall of Monuments, it will be dedicated to that person. After a minipet has been dedicated, nobody else can display that minipet in his/her Hall of Monuments. It can still be taken out by anyone.

Note that this is not the same as Customization - Dedicated minipets can still be traded to and used by other players. Previously, minipets displayed in the Hall of Monuments were customized for that player and no one else could use them in any way. A recent patch changed this; customized minipets can now be changed to Dedicated by the player who originally customized them.