select application_name, application_short_name, fa.application_id
from fnd_application fa, fnd_application_tl fat
where application_short_name like 'AR'
and fa.application_id = fat.application_id
order by fa.application_id

use this SQL query to find out an applications full name (aka long name) and/or application id based on the application short name. This can obviously be re-written to perform the reverse.

Oracle Applications - Find Application (Module) Long Name from Short name

Oracle

SQL