Aside from calling the landlord (and aside from bashing it to death with a broom handle), ideas?
EDIT: Smoke detector removed from wall. Now, the wall unit won't stop chirping - and so does the detector, even though it's both removed from the wall AND the batteries are out.
Must... resist... use of hammer...
EDIT 2: I think... THINK... It may have stopped. *cautious sigh of relief*