Privileges Required to use Triggers 
To use triggers, you need either:
scheduler-administrator role
system, partition or isolation goup-level permissions
object-specific prvileges
Creating Triggers
You need one of the following privilege ranks to be able to create triggers:
Create - allows you to create triggers on the level the privilege was granted (system, partition, isolation-group), you have no further privileges through this rank, you automatically get privileges on triggers you create.
Edit - allows you to create, view, and edit all triggers on the level the privilege was granted (system, partition, isolation-group)
Delete - allows you to create, view, and delete all triggers on the level the privilege was granted (system, partition, isolation-group)
All - full control over all triggers on the level the privilege was granted (system, partition, isolation-group)
Editing Triggers
To successfully edit a trigger, you have to have one the following privileges:
Edit - privilege rank on the trigger, or on triggers in its partition, isolation group or system-wide
Delete - privilege rank on the trigger, or on triggers in its partition, isolation group or system-wide
All - privilege rank on the trigger, or on triggers in its partition, isolation group or system-wide
Triggers can reference the following objects, you need at least View privileges on these objects when you want to edit a trigger that references them:
Library
Application